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1055904 = 25317647
BaseRepresentation
bin100000001110010100000
31222122102120
410001302200
5232242104
634344240
711655303
oct4016240
91878376
101055904
11661353
1242b080
132ac7c5
141d6b3a
1515ccd9
hex101ca0

1055904 has 48 divisors (see below), whose sum is σ = 2939328. Its totient is φ = 330752.

The previous prime is 1055897. The next prime is 1055911. The reversal of 1055904 is 4095501.

It is an interprime number because it is at equal distance from previous prime (1055897) and next prime (1055911).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10559042 = 2229866514432, 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 7 ways as a sum of consecutive naturals, for example, 1309 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

21055904 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 1055904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664).

1055904 is an abundant number, since it is smaller than the sum of its proper divisors (1883424).

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

1055904 is a wasteful number, since it uses less digits than its factorization.

1055904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1055904 is about 1027.5718952949. The cubic root of 1055904 is about 101.8297814552.

The spelling of 1055904 in words is "one million, fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 647 816 1294 1632 1941 2588 3882 5176 7764 10352 10999 15528 20704 21998 31056 32997 43996 62112 65994 87992 131988 175984 263976 351968 527952 1055904