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1056025520 = 245114129269
BaseRepresentation
bin111110111100011…
…010101110110000
32201121002122200022
4332330122232300
54130320304040
6252442143012
735112032414
oct7674325660
92647078608
101056025520
114a210a670
122557b1a68
1313aa25094
14a0372d44
1562a9b6b5
hex3ef1abb0

1056025520 has 80 divisors (see below), whose sum is σ = 2743886880. Its totient is φ = 374630400.

The previous prime is 1056025511. The next prime is 1056025541. The reversal of 1056025520 is 255206501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10560255202 = 2230379797782540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056025520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21446 + ... + 50714.

It is an arithmetic number, because the mean of its divisors is an integer number (34298586).

Almost surely, 21056025520 is an apocalyptic number.

1056025520 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 1056025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371943440).

1056025520 is an abundant number, since it is smaller than the sum of its proper divisors (1687861360).

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

1056025520 is a wasteful number, since it uses less digits than its factorization.

1056025520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29334 (or 29328 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1056025520 is about 32496.5462780278. The cubic root of 1056025520 is about 1018.3368770690.

The spelling of 1056025520 in words is "one billion, fifty-six million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 29269 36080 58538 117076 146345 234152 292690 321959 468304 585380 643918 1170760 1200029 1287836 1609795 2341520 2400058 2575672 3219590 4800116 5151344 6000145 6439180 9600232 12000290 12878360 13200319 19200464 24000580 25756720 26400638 48001160 52801276 66001595 96002320 105602552 132003190 211205104 264006380 528012760 1056025520