Search a number
-
+
46920120 = 233513191583
BaseRepresentation
bin1011001011111…
…1000110111000
310021021210022020
42302333012320
544002420440
64353354440
71106546232
oct262770670
9107253266
1046920120
1124537865
1213868a20
13994a5b0
146335252
1541bc3d0
hex2cbf1b8

46920120 has 128 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 10934784.

The previous prime is 46920091. The next prime is 46920131. The reversal of 46920120 is 2102964.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28849 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 246920120 is an apocalyptic number.

46920120 is a gapful number since it is divisible by the number (40) 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 46920120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

46920120 is an abundant number, since it is smaller than the sum of its proper divisors (112747080).

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

46920120 is a wasteful number, since it uses less digits than its factorization.

46920120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 46920120 is about 6849.8262751693. The cubic root of 46920120 is about 360.6780431235.

The spelling of 46920120 in words is "forty-six million, nine hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1583 1976 2280 2470 2964 3166 3705 4749 4940 5928 6332 7410 7915 9498 9880 12664 14820 15830 18996 20579 23745 29640 30077 31660 37992 41158 47490 60154 61737 63320 82316 90231 94980 102895 120308 123474 150385 164632 180462 189960 205790 240616 246948 300770 308685 360924 391001 411580 451155 493896 601540 617370 721848 782002 823160 902310 1173003 1203080 1234740 1564004 1804620 1955005 2346006 2469480 3128008 3609240 3910010 4692012 5865015 7820020 9384024 11730030 15640040 23460060 46920120