Search a number
-
+
157049640 = 233251139659
BaseRepresentation
bin10010101110001…
…10001100101000
3101221111221121100
421113012030220
5310201042030
623330041400
73614620446
oct1127061450
9357457540
10157049640
11807177a0
1244719260
13266c98a7
1416c01b96
15dbc3360
hex95c6328

157049640 has 96 divisors (see below), whose sum is σ = 556826400. Its totient is φ = 38071680.

The previous prime is 157049623. The next prime is 157049677. The reversal of 157049640 is 46940751.

157049640 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 4 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157049595 and 157049604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15870 + ... + 23789.

It is an arithmetic number, because the mean of its divisors is an integer number (5800275).

Almost surely, 2157049640 is an apocalyptic number.

157049640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157049640 is an abundant number, since it is smaller than the sum of its proper divisors (399776760).

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

157049640 is a wasteful number, since it uses less digits than its factorization.

157049640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39687 (or 39680 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157049640 is about 12531.9447812381. The cubic root of 157049640 is about 539.5259213656.

The spelling of 157049640 in words is "one hundred fifty-seven million, forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 39659 79318 118977 158636 198295 237954 317272 356931 396590 436249 475908 594885 713862 793180 872498 951816 1189770 1308747 1427724 1586360 1744996 1784655 2181245 2379540 2617494 2855448 3489992 3569310 3926241 4362490 4759080 5234988 6543735 7138620 7852482 8724980 10469976 13087470 14277240 15704964 17449960 19631205 26174940 31409928 39262410 52349880 78524820 157049640