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42942660 = 223519139271
BaseRepresentation
bin1010001111010…
…0000011000100
32222210201020220
42203310003010
541443131120
64132224340
71031002155
oct243640304
988721226
1042942660
1122270502
121246b0b0
138b87077
1459bb92c
153b83b40
hex28f40c4

42942660 has 96 divisors (see below), whose sum is σ = 127948800. Its totient is φ = 10730880.

The previous prime is 42942643. The next prime is 42942671. The reversal of 42942660 is 6624924.

42942660 = T411 + T412 + ... + T688.

It is a happy 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, 158325 + ... + 158595.

It is an arithmetic number, because the mean of its divisors is an integer number (1332800).

Almost surely, 242942660 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 42942660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63974400).

42942660 is an abundant number, since it is smaller than the sum of its proper divisors (85006140).

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

42942660 is a wasteful number, since it uses less digits than its factorization.

42942660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42942660 is about 6553.0649317705. The cubic root of 42942660 is about 350.1840120825.

The spelling of 42942660 in words is "forty-two million, nine hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 271 278 285 380 417 542 556 570 695 813 834 1084 1140 1355 1390 1626 1668 2085 2641 2710 2780 3252 4065 4170 5149 5282 5420 7923 8130 8340 10298 10564 13205 15447 15846 16260 20596 25745 26410 30894 31692 37669 39615 51490 52820 61788 75338 77235 79230 102980 113007 150676 154470 158460 188345 226014 308940 376690 452028 565035 715711 753380 1130070 1431422 2147133 2260140 2862844 3578555 4294266 7157110 8588532 10735665 14314220 21471330 42942660