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152472780 = 22355137229
BaseRepresentation
bin10010001011010…
…00110011001100
3101121220102100000
421011220303030
5303013112110
623044004300
73530666025
oct1105506314
9347812300
10152472780
1179081069
1243090690
13257865a5
141636dc4c
15d5bc1c0
hex9168ccc

152472780 has 144 divisors (see below), whose sum is σ = 485241120. Its totient is φ = 40186368.

The previous prime is 152472769. The next prime is 152472781. The reversal of 152472780 is 87274251.

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

It is not an unprimeable number, because it can be changed into a prime (152472781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665706 + ... + 665934.

It is an arithmetic number, because the mean of its divisors is an integer number (3369730).

Almost surely, 2152472780 is an apocalyptic number.

152472780 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 152472780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242620560).

152472780 is an abundant number, since it is smaller than the sum of its proper divisors (332768340).

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

152472780 is a wasteful number, since it uses less digits than its factorization.

152472780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 152472780 is about 12347.9868804595. The cubic root of 152472780 is about 534.2330758833.

The spelling of 152472780 in words is "one hundred fifty-two million, four hundred seventy-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 137 162 180 229 243 270 274 324 405 411 458 486 540 548 685 687 810 822 916 972 1145 1215 1233 1370 1374 1620 1644 2055 2061 2290 2430 2466 2740 2748 3435 3699 4110 4122 4580 4860 4932 6165 6183 6870 7398 8220 8244 10305 11097 12330 12366 13740 14796 18495 18549 20610 22194 24660 24732 30915 31373 33291 36990 37098 41220 44388 55485 55647 61830 62746 66582 73980 74196 92745 94119 110970 111294 123660 125492 133164 156865 166455 185490 188238 221940 222588 278235 282357 313730 332910 370980 376476 470595 556470 564714 627460 665820 847071 941190 1112940 1129428 1411785 1694142 1882380 2541213 2823570 3388284 4235355 5082426 5647140 7623639 8470710 10164852 12706065 15247278 16941420 25412130 30494556 38118195 50824260 76236390 152472780