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153319428 = 223231137383
BaseRepresentation
bin10010010001101…
…11100000000100
3101200111102201100
421020313200010
5303222210203
623114100100
73541123263
oct1110674004
9350442640
10153319428
11795aa179
124341a630
13259c1a72
14165105da
15d6d7ea3
hex9237804

153319428 has 36 divisors (see below), whose sum is σ = 400062208. Its totient is φ = 49457520.

The previous prime is 153319427. The next prime is 153319429. The reversal of 153319428 is 824913351.

It is an interprime number because it is at equal distance from previous prime (153319427) and next prime (153319429).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 153319392 and 153319401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153319421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67576 + ... + 69807.

Almost surely, 2153319428 is an apocalyptic number.

153319428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153319428 is an abundant number, since it is smaller than the sum of its proper divisors (246742780).

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

153319428 is a wasteful number, since it uses less digits than its factorization.

153319428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137424 (or 137419 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 153319428 is about 12382.2222561219. Note that the first 4 decimals coincide. The cubic root of 153319428 is about 535.2200777389.

The spelling of 153319428 in words is "one hundred fifty-three million, three hundred nineteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 137383 274766 412149 549532 824298 1236447 1648596 2472894 4258873 4945788 8517746 12776619 17035492 25553238 38329857 51106476 76659714 153319428