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1055142504 = 2333131919777
BaseRepresentation
bin111110111001000…
…011001001101000
32201112102210102000
4332321003021220
54130104030004
6252411211000
735101364133
oct7671031150
92645383360
101055142504
114a16671a9
12255446a60
1313a7a61a0
14a01c321a
1562974c39
hex3ee43268

1055142504 has 128 divisors (see below), whose sum is σ = 3322704000. Its totient is φ = 307556352.

The previous prime is 1055142499. The next prime is 1055142601. The reversal of 1055142504 is 4052415501.

1055142504 is a `hidden beast` number, since 10 + 5 + 5 + 142 + 504 = 666.

1055142504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10551425042 = 2226651407494780032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43464 + ... + 63240.

It is an arithmetic number, because the mean of its divisors is an integer number (25958625).

Almost surely, 21055142504 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 1055142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661352000).

1055142504 is an abundant number, since it is smaller than the sum of its proper divisors (2267561496).

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

1055142504 is a wasteful number, since it uses less digits than its factorization.

1055142504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19824 (or 19814 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1055142504 is about 32482.9571313943. The cubic root of 1055142504 is about 1018.0529639485.

The spelling of 1055142504 in words is "one billion, fifty-five million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 19777 26676 39554 53352 59331 79108 118662 158216 177993 237324 257101 355986 375763 474648 514202 533979 711972 751526 771303 1028404 1067958 1127289 1423944 1503052 1542606 2056808 2135916 2254578 2313909 3006104 3085212 3381867 4271832 4509156 4627818 4884919 6170424 6763734 6941727 9018312 9255636 9769838 10145601 13527468 13883454 14654757 18511272 19539676 20291202 27054936 27766908 29309514 39079352 40582404 43964271 55533816 58619028 81164808 87928542 117238056 131892813 175857084 263785626 351714168 527571252 1055142504