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1055354520 = 2335116711933
BaseRepresentation
bin111110111001110…
…110111010011000
32201112211120020110
4332321312322120
54130132321040
6252415524320
735103236223
oct7671667230
92645746213
101055354520
114a17a1520
122555296a0
1313a84b83c
14a023a5ba
15629b7980
hex3ee76e98

1055354520 has 128 divisors (see below), whose sum is σ = 3505731840. Its totient is φ = 252003840.

The previous prime is 1055354513. The next prime is 1055354527. The reversal of 1055354520 is 254535501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1055354513) and next prime (1055354527).

It is a super-2 number, since 2×10553545202 = 2227546325768860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055354527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82474 + ... + 94406.

It is an arithmetic number, because the mean of its divisors is an integer number (27388530).

Almost surely, 21055354520 is an apocalyptic number.

1055354520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752865920).

1055354520 is an abundant number, since it is smaller than the sum of its proper divisors (2450377320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055354520 is a wasteful number, since it uses less digits than its factorization.

1055354520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 1055354520 is about 32486.2204634519. The cubic root of 1055354520 is about 1018.1211471753.

The spelling of 1055354520 in words is "one billion, fifty-five million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 11933 14740 17688 22110 23866 29480 35799 44220 47732 59665 71598 88440 95464 119330 131263 143196 178995 238660 262526 286392 357990 393789 477320 525052 656315 715980 787578 799511 1050104 1312630 1431960 1575156 1599022 1968945 2398533 2625260 3150312 3198044 3937890 3997555 4797066 5250520 6396088 7875780 7995110 8794621 9594132 11992665 15751560 15990220 17589242 19188264 23985330 26383863 31980440 35178484 43973105 47970660 52767726 70356968 87946210 95941320 105535452 131919315 175892420 211070904 263838630 351784840 527677260 1055354520