Search a number
-
+
120425236680 = 23357541264997
BaseRepresentation
bin111000000100111100…
…1110100100011001000
3102111211122022212120010
41300021321310203020
53433112330033210
6131153402431520
711462151423330
oct1601171644310
9374748285503
10120425236680
11470879a77a1
121b40a2025a0
13b4823237c8
145b859da0c0
1531ec4a1920
hex1c09e748c8

120425236680 has 128 divisors (see below), whose sum is σ = 413651278080. Its totient is φ = 27474785280.

The previous prime is 120425236663. The next prime is 120425236697. The reversal of 120425236680 is 86632524021.

It is an interprime number because it is at equal distance from previous prime (120425236663) and next prime (120425236697).

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, 321942 + ... + 586938.

It is an arithmetic number, because the mean of its divisors is an integer number (3231650610).

Almost surely, 2120425236680 is an apocalyptic number.

120425236680 is a gapful number since it is divisible by the number (10) 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 120425236680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206825639040).

120425236680 is an abundant number, since it is smaller than the sum of its proper divisors (293226041400).

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

120425236680 is a wasteful number, since it uses less digits than its factorization.

120425236680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265559 (or 265555 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 120425236680 in words is "one hundred twenty billion, four hundred twenty-five million, two hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 541 840 1082 1623 2164 2705 3246 3787 4328 5410 6492 7574 8115 10820 11361 12984 15148 16230 18935 21640 22722 30296 32460 37870 45444 56805 64920 75740 90888 113610 151480 227220 264997 454440 529994 794991 1059988 1324985 1589982 1854979 2119976 2649970 3179964 3709958 3974955 5299940 5564937 6359928 7419916 7949910 9274895 10599880 11129874 14839832 15899820 18549790 22259748 27824685 31799640 37099580 44519496 55649370 74199160 111298740 143363377 222597480 286726754 430090131 573453508 716816885 860180262 1003543639 1146907016 1433633770 1720360524 2007087278 2150450655 2867267540 3010630917 3440721048 4014174556 4300901310 5017718195 5734535080 6021261834 8028349112 8601802620 10035436390 12042523668 15053154585 17203605240 20070872780 24085047336 30106309170 40141745560 60212618340 120425236680