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152131420 = 22573743683
BaseRepresentation
bin10010001000101…
…01011101011100
3101121021002002001
421010111131130
5302421201140
623032412044
73525044560
oct1104253534
9347232061
10152131420
1178968651
1242b47024
13256970bc
14162c16a0
15d550e9a
hex911575c

152131420 has 96 divisors (see below), whose sum is σ = 384265728. Its totient is φ = 49496832.

The previous prime is 152131417. The next prime is 152131429. The reversal of 152131420 is 24131251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152131429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222399 + ... + 223081.

It is an arithmetic number, because the mean of its divisors is an integer number (4002768).

Almost surely, 2152131420 is an apocalyptic number.

152131420 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 152131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192132864).

152131420 is an abundant number, since it is smaller than the sum of its proper divisors (232134308).

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

152131420 is a wasteful number, since it uses less digits than its factorization.

152131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 152131420 is about 12334.1566391870. The cubic root of 152131420 is about 533.8340930454.

Adding to 152131420 its reverse (24131251), we get a palindrome (176262671).

The spelling of 152131420 in words is "one hundred fifty-two million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 43 70 74 86 140 148 172 185 215 259 301 370 430 518 602 683 740 860 1036 1204 1295 1366 1505 1591 2590 2732 3010 3182 3415 4781 5180 6020 6364 6830 7955 9562 11137 13660 15910 19124 22274 23905 25271 29369 31820 44548 47810 50542 55685 58738 95620 101084 111370 117476 126355 146845 176897 205583 222740 252710 293690 353794 411166 505420 587380 707588 822332 884485 1027915 1086653 1768970 2055830 2173306 3537940 4111660 4346612 5433265 7606571 10866530 15213142 21733060 30426284 38032855 76065710 152131420