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61987104 = 25323153131
BaseRepresentation
bin1110110001110…
…1100100100000
311022122021022200
43230131210200
5111332041404
610052333200
71351611264
oct354354440
9138567280
1061987104
1131a98913
1218914200
13cac457a
1483380a4
155696839
hex3b1d920

61987104 has 144 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 19468800.

The previous prime is 61987097. The next prime is 61987141. The reversal of 61987104 is 40178916.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473119 + ... + 473249.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 261987104 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 61987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

61987104 is an abundant number, since it is smaller than the sum of its proper divisors (124823520).

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

61987104 is a wasteful number, since it uses less digits than its factorization.

61987104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 61987104 is about 7873.1889346059. The cubic root of 61987104 is about 395.7617176834.

The spelling of 61987104 in words is "sixty-one million, nine hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 53 62 72 93 96 106 124 131 144 159 186 212 248 262 279 288 318 372 393 424 477 496 524 558 636 744 786 848 954 992 1048 1116 1179 1272 1488 1572 1643 1696 1908 2096 2232 2358 2544 2976 3144 3286 3816 4061 4192 4464 4716 4929 5088 6288 6572 6943 7632 8122 8928 9432 9858 12183 12576 13144 13886 14787 15264 16244 18864 19716 20829 24366 26288 27772 29574 32488 36549 37728 39432 41658 48732 52576 55544 59148 62487 64976 73098 78864 83316 97464 111088 118296 124974 129952 146196 157728 166632 194928 215233 222176 236592 249948 292392 333264 389856 430466 473184 499896 584784 645699 666528 860932 999792 1169568 1291398 1721864 1937097 1999584 2582796 3443728 3874194 5165592 6887456 7748388 10331184 15496776 20662368 30993552 61987104