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102842544 = 2437307997
BaseRepresentation
bin1100010000101…
…00000010110000
321011111221110010
412020110002300
5202311430134
614112134520
72356101330
oct610240260
9234457403
10102842544
1153063142
122a537440
13183ca59c
14d9310c0
159066ce9
hex62140b0

102842544 has 80 divisors (see below), whose sum is σ = 304924928. Its totient is φ = 29258496.

The previous prime is 102842539. The next prime is 102842557. The reversal of 102842544 is 445248201.

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, 102654 + ... + 103650.

Almost surely, 2102842544 is an apocalyptic number.

102842544 is a gapful number since it is divisible by the number (14) 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 102842544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152462464).

102842544 is an abundant number, since it is smaller than the sum of its proper divisors (202082384).

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

102842544 is a wasteful number, since it uses less digits than its factorization.

102842544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 102842544 is about 10141.1312978385. The cubic root of 102842544 is about 468.5158312693.

The spelling of 102842544 in words is "one hundred two million, eight hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 614 921 997 1228 1842 1994 2149 2456 2991 3684 3988 4298 4912 5982 6447 6979 7368 7976 8596 11964 12894 13958 14736 15952 17192 20937 23928 25788 27916 34384 41874 47856 51576 55832 83748 103152 111664 167496 306079 334992 612158 918237 1224316 1836474 2142553 2448632 3672948 4285106 4897264 6427659 7345896 8570212 12855318 14691792 17140424 25710636 34280848 51421272 102842544