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120487948 = 227311271093
BaseRepresentation
bin1110010111010…
…00000000001100
322101201102101121
413023220000030
5221321103243
615542250324
72662062550
oct713500014
9271642347
10120487948
1162015419
12344269a4
131bc68059
1412005860
15a8a01ed
hex72e800c

120487948 has 48 divisors (see below), whose sum is σ = 250937344. Its totient is φ = 49533120.

The previous prime is 120487919. The next prime is 120488003. The reversal of 120487948 is 849784021.

It is a super-2 number, since 2×1204879482 = 29034691226501408, which contains 22 as substring.

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, 109690 + ... + 110782.

Almost surely, 2120487948 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 120487948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468672).

120487948 is an abundant number, since it is smaller than the sum of its proper divisors (130449396).

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

120487948 is a wasteful number, since it uses less digits than its factorization.

120487948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 120487948 is about 10976.7002327658. The cubic root of 120487948 is about 493.9100570021.

The spelling of 120487948 in words is "one hundred twenty million, four hundred eighty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 127 217 254 434 508 868 889 1093 1778 2186 3556 3937 4372 7651 7874 15302 15748 27559 30604 33883 55118 67766 110236 135532 138811 237181 277622 474362 555244 948724 971677 1943354 3886708 4303141 8606282 17212564 30121987 60243974 120487948