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1055136 = 25329379
BaseRepresentation
bin100000001100110100000
31222121101010
410001212200
5232231021
634340520
711653125
oct4014640
91877333
101055136
11660815
1242a740
132ac354
141d674c
1515c976
hex1019a0

1055136 has 48 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 338688.

The previous prime is 1055113. The next prime is 1055137. The reversal of 1055136 is 6315501.

It is a happy number.

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

It is a super-2 number, since 2×10551362 = 2226623956992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

21055136 is an apocalyptic number.

1055136 is a gapful number since it is divisible by the number (16) 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 1055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1055136 is an abundant number, since it is smaller than the sum of its proper divisors (1817664).

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

1055136 is a wasteful number, since it uses less digits than its factorization.

1055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1055136 is about 1027.1981308394. The cubic root of 1055136 is about 101.8050872152.

The spelling of 1055136 in words is "one million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 379 464 696 758 928 1137 1392 1516 2274 2784 3032 4548 6064 9096 10991 12128 18192 21982 32973 36384 43964 65946 87928 131892 175856 263784 351712 527568 1055136