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152346720 = 2535433733
BaseRepresentation
bin10010001010010…
…10000001100000
3101121200000102010
421011022001200
5303000043340
623041152520
73526632351
oct1105120140
9347600363
10152346720
1178aa5389
124302b740
13257410b6
1416339d28
15d594b80
hex914a060

152346720 has 96 divisors (see below), whose sum is σ = 481656672. Its totient is φ = 40476672.

The previous prime is 152346703. The next prime is 152346743. The reversal of 152346720 is 27643251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207474 + ... + 208206.

It is an arithmetic number, because the mean of its divisors is an integer number (5017257).

Almost surely, 2152346720 is an apocalyptic number.

152346720 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 152346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240828336).

152346720 is an abundant number, since it is smaller than the sum of its proper divisors (329309952).

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

152346720 is a wasteful number, since it uses less digits than its factorization.

152346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 152346720 is about 12342.8813491826. The cubic root of 152346720 is about 534.0858059032.

Adding to 152346720 its reverse (27643251), we get a palindrome (179989971).

The spelling of 152346720 in words is "one hundred fifty-two million, three hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 433 480 733 866 1299 1466 1732 2165 2199 2598 2932 3464 3665 4330 4398 5196 5864 6495 6928 7330 8660 8796 10392 10995 11728 12990 13856 14660 17320 17592 20784 21990 23456 25980 29320 34640 35184 41568 43980 51960 58640 69280 70368 87960 103920 117280 175920 207840 317389 351840 634778 952167 1269556 1586945 1904334 2539112 3173890 3808668 4760835 5078224 6347780 7617336 9521670 10156448 12695560 15234672 19043340 25391120 30469344 38086680 50782240 76173360 152346720