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153238380 = 22356738119
BaseRepresentation
bin10010010001000…
…11101101101100
3101200100022112120
421020203231230
5303212112010
623112232540
73540335061
oct1110435554
9350308476
10153238380
1179554299
124339b750
1325993bc9
14164ccc68
15d6bde70
hex9223b6c

153238380 has 48 divisors (see below), whose sum is σ = 435482880. Its totient is φ = 40252608.

The previous prime is 153238373. The next prime is 153238387. The reversal of 153238380 is 83832351.

It is an interprime number because it is at equal distance from previous prime (153238373) and next prime (153238387).

It is a super-2 number, since 2×1532383802 = 46964002210048800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153238387) 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 15 ways as a sum of consecutive naturals, for example, 15040 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (9072560).

Almost surely, 2153238380 is an apocalyptic number.

153238380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153238380 is an abundant number, since it is smaller than the sum of its proper divisors (282244500).

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

153238380 is a wasteful number, since it uses less digits than its factorization.

153238380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38198 (or 38196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 153238380 is about 12378.9490668635. The cubic root of 153238380 is about 535.1257514397.

The spelling of 153238380 in words is "one hundred fifty-three million, two hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 38119 76238 114357 152476 190595 228714 381190 457428 571785 762380 1143570 2287140 2553973 5107946 7661919 10215892 12769865 15323838 25539730 30647676 38309595 51079460 76619190 153238380