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204157240 = 23576111953
BaseRepresentation
bin11000010101100…
…11000100111000
3112020011021002021
430022303010320
5404231012430
632131444224
75026210420
oct1412630470
9466137067
10204157240
11a52723a1
1258456674
13333b1601
141d185480
1512dcb07a
hexc2b3138

204157240 has 64 divisors (see below), whose sum is σ = 533626560. Its totient is φ = 68843520.

The previous prime is 204157229. The next prime is 204157243. The reversal of 204157240 is 42751402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204157243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11104 + ... + 23056.

It is an arithmetic number, because the mean of its divisors is an integer number (8337915).

Almost surely, 2204157240 is an apocalyptic number.

204157240 is a gapful number since it is divisible by the number (20) 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 204157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266813280).

204157240 is an abundant number, since it is smaller than the sum of its proper divisors (329469320).

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

204157240 is a wasteful number, since it uses less digits than its factorization.

204157240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 204157240 is about 14288.3602978088. The cubic root of 204157240 is about 588.8277403907.

The spelling of 204157240 in words is "two hundred four million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 11953 17080 23906 47812 59765 83671 95624 119530 167342 239060 334684 418355 478120 669368 729133 836710 1458266 1673420 2916532 3346840 3645665 5103931 5833064 7291330 10207862 14582660 20415724 25519655 29165320 40831448 51039310 102078620 204157240