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987695072 = 257132314747
BaseRepresentation
bin111010110111110…
…000011111100000
32112211112002220222
4322313300133200
54010322220242
6242001422212
733322161320
oct7267603740
92484462828
10987695072
11467589a21
1223693a968
1312981c470
1495267280
155baa05d2
hex3adf07e0

987695072 has 96 divisors (see below), whose sum is σ = 2497485312. Its totient is φ = 373722624.

The previous prime is 987695041. The next prime is 987695081. The reversal of 987695072 is 270596789.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59603 + ... + 74349.

It is an arithmetic number, because the mean of its divisors is an integer number (26015472).

Almost surely, 2987695072 is an apocalyptic number.

987695072 is a gapful number since it is divisible by the number (92) 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 987695072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248742656).

987695072 is an abundant number, since it is smaller than the sum of its proper divisors (1509790240).

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

987695072 is a wasteful number, since it uses less digits than its factorization.

987695072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800 (or 14792 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The square root of 987695072 is about 31427.6163906842. The cubic root of 987695072 is about 995.8814179023.

The spelling of 987695072 in words is "nine hundred eighty-seven million, six hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 4186 4784 5152 8372 9568 14747 16744 29494 33488 58988 66976 103229 117976 191711 206458 235952 339181 383422 412916 471904 678362 766844 825832 1341977 1356724 1533688 1651664 2374267 2683954 2713448 3067376 3303328 4409353 4748534 5367908 5426896 6134752 8818706 9497068 10735816 10853792 17637412 18994136 21471632 30865471 35274824 37988272 42943264 61730942 70549648 75976544 123461884 141099296 246923768 493847536 987695072