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1064906120 = 235416411013
BaseRepresentation
bin111111011110010…
…010110110001000
32202012210211120102
4333132102312020
54140103443440
6253400344532
735250360365
oct7736226610
92665724512
101064906120
114a7125803
12258775148
1313c814285
14a160546c
1563752b15
hex3f792d88

1064906120 has 64 divisors (see below), whose sum is σ = 2460734640. Its totient is φ = 414515200.

The previous prime is 1064906083. The next prime is 1064906123. The reversal of 1064906120 is 216094601.

It can be written as a sum of positive squares in 8 ways, for example, as 90592324 + 974313796 = 9518^2 + 31214^2 .

It is a super-2 number, since 2×10649061202 = 2268050088826908800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064906123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050734 + ... + 1051746.

Almost surely, 21064906120 is an apocalyptic number.

1064906120 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 1064906120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230367320).

1064906120 is an abundant number, since it is smaller than the sum of its proper divisors (1395828520).

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

1064906120 is a wasteful number, since it uses less digits than its factorization.

1064906120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1064906120 is about 32632.8993501957. The cubic root of 1064906120 is about 1021.1834655053.

The spelling of 1064906120 in words is "one billion, sixty-four million, nine hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 641 820 1013 1282 1640 2026 2564 3205 4052 5065 5128 6410 8104 10130 12820 20260 25640 26281 40520 41533 52562 83066 105124 131405 166132 207665 210248 262810 332264 415330 525620 649333 830660 1051240 1298666 1661320 2597332 3246665 5194664 6493330 12986660 25973320 26622653 53245306 106490612 133113265 212981224 266226530 532453060 1064906120