Search a number
-
+
74396020 = 225192943157
BaseRepresentation
bin1000110111100…
…11000101110100
312011222201011011
410123303011310
5123021133040
611214322004
71562233006
oct433630564
9164881134
1074396020
1138aa3916
1220ab9304
131254a71a
149c48376
1567e83ea
hex46f3174

74396020 has 96 divisors (see below), whose sum is σ = 175190400. Its totient is φ = 26417664.

The previous prime is 74395999. The next prime is 74396033. The reversal of 74396020 is 2069347.

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, 473782 + ... + 473938.

It is an arithmetic number, because the mean of its divisors is an integer number (1824900).

Almost surely, 274396020 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 74396020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87595200).

74396020 is an abundant number, since it is smaller than the sum of its proper divisors (100794380).

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

74396020 is a wasteful number, since it uses less digits than its factorization.

74396020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 74396020 is about 8625.3127479530. The cubic root of 74396020 is about 420.5812436130.

The spelling of 74396020 in words is "seventy-four million, three hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 43 58 76 86 95 116 145 157 172 190 215 290 314 380 430 551 580 628 785 817 860 1102 1247 1570 1634 2204 2494 2755 2983 3140 3268 4085 4553 4988 5510 5966 6235 6751 8170 9106 11020 11932 12470 13502 14915 16340 18212 22765 23693 24940 27004 29830 33755 45530 47386 59660 67510 86507 91060 94772 118465 128269 135020 173014 195779 236930 256538 346028 391558 432535 473860 513076 641345 783116 865070 978895 1282690 1730140 1957790 2565380 3719801 3915580 7439602 14879204 18599005 37198010 74396020