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1053067944 = 233416715973
BaseRepresentation
bin111110110001001…
…000101010101000
32201101112101122110
4332301020222220
54124041133234
6252254522320
735044633635
oct7661105250
92641471573
101053067944
114a047a595
122548063a0
1313a22ab36
149dc0318c
15626b51e9
hex3ec48aa8

1053067944 has 64 divisors (see below), whose sum is σ = 2737304640. Its totient is φ = 337328640.

The previous prime is 1053067943. The next prime is 1053067957. The reversal of 1053067944 is 4497603501.

It is a super-2 number, since 2×10530679442 = 2217904189360774272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053067943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57942 + ... + 73914.

It is an arithmetic number, because the mean of its divisors is an integer number (42770385).

Almost surely, 21053067944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053067944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368652320).

1053067944 is an abundant number, since it is smaller than the sum of its proper divisors (1684236696).

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

1053067944 is a wasteful number, since it uses less digits than its factorization.

1053067944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16090 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1053067944 is about 32451.0083664591. The cubic root of 1053067944 is about 1017.3853139598.

The spelling of 1053067944 in words is "one billion, fifty-three million, sixty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 201 246 268 328 402 492 536 804 984 1608 2747 5494 8241 10988 15973 16482 21976 31946 32964 47919 63892 65928 95838 127784 191676 383352 654893 1070191 1309786 1964679 2140382 2619572 3210573 3929358 4280764 5239144 6421146 7858716 8561528 12842292 15717432 25684584 43877831 87755662 131633493 175511324 263266986 351022648 526533972 1053067944