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120542664 = 233115971109
BaseRepresentation
bin1110010111101…
…01010111001000
322101211012110010
413023311113020
5221324331124
615543351520
72662411224
oct713652710
9271735403
10120542664
1162052540
12344525a0
131bc86c28
141201b784
15a8b1529
hex72f55c8

120542664 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 35078400.

The previous prime is 120542603. The next prime is 120542687. The reversal of 120542664 is 466245021.

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, 1105842 + ... + 1105950.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2120542664 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 120542664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

120542664 is an abundant number, since it is smaller than the sum of its proper divisors (221601336).

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

120542664 is a wasteful number, since it uses less digits than its factorization.

120542664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 120542664 is about 10979.1923200206. The cubic root of 120542664 is about 493.9848105171.

Adding to 120542664 its reverse (466245021), we get a palindrome (586787685).

The spelling of 120542664 in words is "one hundred twenty million, five hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 71 88 109 118 132 142 177 213 218 236 264 284 327 354 426 436 472 568 649 654 708 781 852 872 1199 1298 1308 1416 1562 1704 1947 2343 2398 2596 2616 3124 3597 3894 4189 4686 4796 5192 6248 6431 7194 7739 7788 8378 9372 9592 12567 12862 14388 15478 15576 16756 18744 19293 23217 25134 25724 28776 30956 33512 38586 46079 46434 50268 51448 61912 70741 77172 85129 92158 92868 100536 138237 141482 154344 170258 184316 185736 212223 255387 276474 282964 340516 368632 424446 456601 510774 552948 565928 681032 848892 913202 1021548 1105896 1369803 1697784 1826404 2043096 2739606 3652808 5022611 5479212 10045222 10958424 15067833 20090444 30135666 40180888 60271332 120542664