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87374970 = 23352911159
BaseRepresentation
bin1010011010100…
…11110001111010
320002102002221000
411031103301322
5134331444340
612400425430
72110450344
oct515236172
9202362830
1087374970
1145359121
1225318276
1315143187
14b866294
157a0dd30
hex5353c7a

87374970 has 64 divisors (see below), whose sum is σ = 241056000. Its totient is φ = 22494528.

The previous prime is 87374933. The next prime is 87374971. The reversal of 87374970 is 7947378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87374971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 287374970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87374970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

87374970 is an abundant number, since it is smaller than the sum of its proper divisors (153681030).

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

87374970 is a wasteful number, since it uses less digits than its factorization.

87374970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 87374970 is about 9347.4579432057. The cubic root of 87374970 is about 443.7404436215.

The spelling of 87374970 in words is "eighty-seven million, three hundred seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 11159 22318 33477 55795 66954 100431 111590 167385 200862 301293 323611 334770 502155 602586 647222 970833 1004310 1506465 1618055 1941666 2912499 3012930 3236110 4854165 5824998 8737497 9708330 14562495 17474994 29124990 43687485 87374970