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153148940 = 22574126681
BaseRepresentation
bin10010010000011…
…01111000001100
3101200011202211222
421020031320030
5303201231230
623110302512
73536513240
oct1110157014
9350152758
10153148940
11794a307a
1243357a38
1325962299
14164a8420
15d6a26e5
hex920de0c

153148940 has 48 divisors (see below), whose sum is σ = 376536384. Its totient is φ = 51225600.

The previous prime is 153148939. The next prime is 153148943. The reversal of 153148940 is 49841351.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 153148940.

It is not an unprimeable number, because it can be changed into a prime (153148943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7601 + ... + 19080.

It is an arithmetic number, because the mean of its divisors is an integer number (7844508).

Almost surely, 2153148940 is an apocalyptic number.

153148940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153148940 is an abundant number, since it is smaller than the sum of its proper divisors (223387444).

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

153148940 is a wasteful number, since it uses less digits than its factorization.

153148940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 153148940 is about 12375.3359550357. The cubic root of 153148940 is about 535.0216196463.

The spelling of 153148940 in words is "one hundred fifty-three million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 26681 53362 106724 133405 186767 266810 373534 533620 747068 933835 1093921 1867670 2187842 3735340 4375684 5469605 7657447 10939210 15314894 21878420 30629788 38287235 76574470 153148940