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153148840 = 23513311947
BaseRepresentation
bin10010010000011…
…01110110101000
3101200011202201021
421020031312220
5303201230330
623110302224
73536513035
oct1110156650
9350152637
10153148840
11794a2a99
1243357974
1325962220
14164a838c
15d6a267a
hex920dda8

153148840 has 64 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 56305920.

The previous prime is 153148829. The next prime is 153148841. The reversal of 153148840 is 48841351.

It is a junction number, because it is equal to n+sod(n) for n = 153148796 and 153148805.

It is not an unprimeable number, because it can be changed into a prime (153148841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161247 + ... + 162193.

It is an arithmetic number, because the mean of its divisors is an integer number (5823090).

Almost surely, 2153148840 is an apocalyptic number.

153148840 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 153148840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

153148840 is an abundant number, since it is smaller than the sum of its proper divisors (219528920).

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

153148840 is a wasteful number, since it uses less digits than its factorization.

153148840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 153148840 is about 12375.3319147407. The cubic root of 153148840 is about 535.0215031972.

The spelling of 153148840 in words is "one hundred fifty-three million, one hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 311 520 622 947 1244 1555 1894 2488 3110 3788 4043 4735 6220 7576 8086 9470 12311 12440 16172 18940 20215 24622 32344 37880 40430 49244 61555 80860 98488 123110 161720 246220 294517 492440 589034 1178068 1472585 2356136 2945170 3828721 5890340 7657442 11780680 15314884 19143605 30629768 38287210 76574420 153148840