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120676542 = 23747113541
BaseRepresentation
bin1110011000101…
…10000010111110
322102002000002120
413030112002332
5221343122132
615550303410
72663506440
oct714260276
9272060076
10120676542
1162134088
12344b7b66
131c002b4c
1412054490
15a8db02c
hex73160be

120676542 has 64 divisors (see below), whose sum is σ = 284719104. Its totient is φ = 33384960.

The previous prime is 120676513. The next prime is 120676559. The reversal of 120676542 is 245676021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222792 + ... + 223332.

It is an arithmetic number, because the mean of its divisors is an integer number (4448736).

Almost surely, 2120676542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120676542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142359552).

120676542 is an abundant number, since it is smaller than the sum of its proper divisors (164042562).

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

120676542 is a wasteful number, since it uses less digits than its factorization.

120676542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 120676542 is about 10985.2875246850. The cubic root of 120676542 is about 494.1676205642.

The spelling of 120676542 in words is "one hundred twenty million, six hundred seventy-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 113 141 226 282 329 339 541 658 678 791 987 1082 1582 1623 1974 2373 3246 3787 4746 5311 7574 10622 11361 15933 22722 25427 31866 37177 50854 61133 74354 76281 111531 122266 152562 177989 183399 223062 355978 366798 427931 533967 855862 1067934 1283793 2567586 2873251 5746502 8619753 17239506 20112757 40225514 60338271 120676542