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1157156 = 2271113172
BaseRepresentation
bin100011010100000100100
32011210022122
410122200210
5244012111
640445112
712556430
oct4324044
92153278
101157156
11720430
12479798
13316910
142219c0
1517ccdb
hex11a824

1157156 has 72 divisors (see below), whose sum is σ = 2888256. Its totient is φ = 391680.

The previous prime is 1157131. The next prime is 1157159. The reversal of 1157156 is 6517511.

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (1050) is a multiple of the sum of its prime divisors (50).

It is not an unprimeable number, because it can be changed into a prime (1157159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68060 + ... + 68076.

21157156 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 1157156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444128).

1157156 is an abundant number, since it is smaller than the sum of its proper divisors (1731100).

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

1157156 is a wasteful number, since it uses less digits than its factorization.

1157156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its digits is 1050, while the sum is 26.

The square root of 1157156 is about 1075.7118573298. The cubic root of 1157156 is about 104.9858181904.

The spelling of 1157156 in words is "one million, one hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 289 308 364 374 442 476 572 578 748 884 1001 1156 1309 1547 2002 2023 2431 2618 3094 3179 3757 4004 4046 4862 5236 6188 6358 7514 8092 9724 12716 15028 17017 22253 26299 34034 41327 44506 52598 68068 82654 89012 105196 165308 289289 578578 1157156