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61211136 = 29375693
BaseRepresentation
bin1110100110000…
…0001000000000
311021011211220010
43221200020000
5111132224021
610023544520
71342200060
oct351401000
9137154803
1061211136
1131608918
12185bb140
13c8b230c
1481b53a0
155591976
hex3a60200

61211136 has 80 divisors (see below), whose sum is σ = 186398784. Its totient is φ = 17485824.

The previous prime is 61211113. The next prime is 61211167. The reversal of 61211136 is 63111216.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7906 + ... + 13598.

Almost surely, 261211136 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 61211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93199392).

61211136 is an abundant number, since it is smaller than the sum of its proper divisors (125187648).

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

61211136 is an equidigital number, since it uses as much as digits as its factorization.

61211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5705 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 61211136 is about 7823.7545973784. The cubic root of 61211136 is about 394.1033681390.

The spelling of 61211136 in words is "sixty-one million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 5693 10752 11386 17079 22772 34158 39851 45544 68316 79702 91088 119553 136632 159404 182176 239106 273264 318808 364352 478212 546528 637616 728704 956424 1093056 1275232 1457408 1912848 2186112 2550464 2914816 3825696 4372224 5100928 7651392 8744448 10201856 15302784 20403712 30605568 61211136