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1055315400 = 233524142899
BaseRepresentation
bin111110111001101…
…101010111001000
32201112202120120120
4332321231113020
54130130043100
6252415023240
735103014166
oct7671552710
92645676516
101055315400
114a1775097
1225550ab20
1313a836aa9
14a022a236
15629ab0a0
hex3ee6d5c8

1055315400 has 96 divisors (see below), whose sum is σ = 3351348000. Its totient is φ = 274547200.

The previous prime is 1055315389. The next prime is 1055315411. The reversal of 1055315400 is 45135501.

It is an interprime number because it is at equal distance from previous prime (1055315389) and next prime (1055315411).

It is a super-2 number, since 2×10553154002 = 2227381186954320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3151 + ... + 46049.

It is an arithmetic number, because the mean of its divisors is an integer number (34909875).

Almost surely, 21055315400 is an apocalyptic number.

1055315400 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 1055315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675674000).

1055315400 is an abundant number, since it is smaller than the sum of its proper divisors (2296032600).

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

1055315400 is a wasteful number, since it uses less digits than its factorization.

1055315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42959 (or 42950 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1055315400 is about 32485.6183564358. The cubic root of 1055315400 is about 1018.1085670768.

The spelling of 1055315400 in words is "one billion, fifty-five million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 42899 85798 128697 171596 214495 257394 343192 428990 514788 643485 857980 1029576 1072475 1286970 1715960 1758859 2144950 2573940 3217425 3517718 4289900 5147880 5276577 6434850 7035436 8579800 8794295 10553154 12869700 14070872 17588590 21106308 25739400 26382885 35177180 42212616 43971475 52765770 70354360 87942950 105531540 131914425 175885900 211063080 263828850 351771800 527657700 1055315400