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1055146440 = 2335291931571
BaseRepresentation
bin111110111001000…
…100000111001000
32201112102222210210
4332321010013020
54130104141230
6252411241120
735101411455
oct7671040710
92645388723
101055146440
114a166a157
122554491a0
1313a7a7c0a
14a01c482c
1562975eb0
hex3ee441c8

1055146440 has 128 divisors (see below), whose sum is σ = 3293654400. Its totient is φ = 270090240.

The previous prime is 1055146423. The next prime is 1055146447. The reversal of 1055146440 is 446415501.

It is a super-2 number, since 2×10551464402 = 2226668019689347200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1055146398 and 1055146407.

It is not an unprimeable number, because it can be changed into a prime (1055146447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670855 + ... + 672425.

It is an arithmetic number, because the mean of its divisors is an integer number (25731675).

Almost surely, 21055146440 is an apocalyptic number.

1055146440 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 1055146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646827200).

1055146440 is an abundant number, since it is smaller than the sum of its proper divisors (2238507960).

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

1055146440 is a wasteful number, since it uses less digits than its factorization.

1055146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1055146440 is about 32483.0177169548. The cubic root of 1055146440 is about 1018.0542298285.

The spelling of 1055146440 in words is "one billion, fifty-five million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 193 232 290 348 386 435 579 580 696 772 870 965 1158 1160 1544 1571 1740 1930 2316 2895 3142 3480 3860 4632 4713 5597 5790 6284 7720 7855 9426 11194 11580 12568 15710 16791 18852 22388 23160 23565 27985 31420 33582 37704 44776 45559 47130 55970 62840 67164 83955 91118 94260 111940 134328 136677 167910 182236 188520 223880 227795 273354 303203 335820 364472 455590 546708 606406 671640 683385 909609 911180 1093416 1212812 1366770 1516015 1819218 1822360 2425624 2733540 3032030 3638436 4548045 5467080 6064060 7276872 8792887 9096090 12128120 17585774 18192180 26378661 35171548 36384360 43964435 52757322 70343096 87928870 105514644 131893305 175857740 211029288 263786610 351715480 527573220 1055146440