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87054440 = 23511672953
BaseRepresentation
bin1010011000001…
…01100001101000
320001210211020112
411030011201220
5134241220230
612345513452
72104644014
oct514054150
9201724215
1087054440
114515a320
12251a2888
1315060305
14b7c1544
157998d95
hex5305868

87054440 has 64 divisors (see below), whose sum is σ = 216941760. Its totient is φ = 31173120.

The previous prime is 87054437. The next prime is 87054463. The reversal of 87054440 is 4445078.

It is a junction number, because it is equal to n+sod(n) for n = 87054397 and 87054406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28004 + ... + 30956.

It is an arithmetic number, because the mean of its divisors is an integer number (3389715).

Almost surely, 287054440 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 87054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108470880).

87054440 is an abundant number, since it is smaller than the sum of its proper divisors (129887320).

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

87054440 is a wasteful number, since it uses less digits than its factorization.

87054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 87054440 is about 9330.2968870235. The cubic root of 87054440 is about 443.1971667420.

The spelling of 87054440 in words is "eighty-seven million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 2953 3685 5896 5906 7370 11812 14740 14765 23624 29480 29530 32483 59060 64966 118120 129932 162415 197851 259864 324830 395702 649660 791404 989255 1299320 1582808 1978510 2176361 3957020 4352722 7914040 8705444 10881805 17410888 21763610 43527220 87054440