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61031088 = 243217107233
BaseRepresentation
bin1110100011010…
…0001010110000
311020211200220200
43220310022300
5111110443323
610020035200
71340520126
oct350641260
9136750820
1061031088
11314a5618
1218532b00
13c84b391
148169916
155558443
hex3a342b0

61031088 has 120 divisors (see below), whose sum is σ = 183323088. Its totient is φ = 18886656.

The previous prime is 61031053. The next prime is 61031101. The reversal of 61031088 is 88013016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261820 + ... + 262052.

Almost surely, 261031088 is an apocalyptic number.

61031088 is a gapful number since it is divisible by the number (68) 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 61031088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91661544).

61031088 is an abundant number, since it is smaller than the sum of its proper divisors (122292000).

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

61031088 is a wasteful number, since it uses less digits than its factorization.

61031088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 61031088 is about 7812.2396276612. The cubic root of 61031088 is about 393.7165800811.

The spelling of 61031088 in words is "sixty-one million, thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 233 272 306 321 408 428 466 612 642 699 816 856 932 963 1224 1284 1398 1712 1819 1864 1926 2097 2448 2568 2796 3638 3728 3852 3961 4194 5136 5457 5592 7276 7704 7922 8388 10914 11184 11883 14552 15408 15844 16371 16776 21828 23766 24931 29104 31688 32742 33552 35649 43656 47532 49862 63376 65484 71298 74793 87312 95064 99724 130968 142596 149586 190128 199448 224379 261936 285192 299172 398896 423827 448758 570384 598344 847654 897516 1196688 1271481 1695308 1795032 2542962 3390616 3590064 3814443 5085924 6781232 7628886 10171848 15257772 20343696 30515544 61031088