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153480936 = 23372196869
BaseRepresentation
bin10010010010111…
…10111011101000
3101200210122021010
421021132323220
5303242342221
623121343520
73542365200
oct1111367350
9350718233
10153480936
11796aa554
1243497ba0
1325a4a42b
1416553400
15d71ac76
hex925eee8

153480936 has 96 divisors (see below), whose sum is σ = 469908000. Its totient is φ = 41537664.

The previous prime is 153480883. The next prime is 153480937. The reversal of 153480936 is 639084351.

It is a junction number, because it is equal to n+sod(n) for n = 153480894 and 153480903.

It is not an unprimeable number, because it can be changed into a prime (153480937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18910 + ... + 25778.

It is an arithmetic number, because the mean of its divisors is an integer number (4894875).

Almost surely, 2153480936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153480936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234954000).

153480936 is an abundant number, since it is smaller than the sum of its proper divisors (316427064).

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

153480936 is a wasteful number, since it uses less digits than its factorization.

153480936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 153480936 is about 12388.7423090482. The cubic root of 153480936 is about 535.4079469262.

The spelling of 153480936 in words is "one hundred fifty-three million, four hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 6869 7448 11172 13738 20607 22344 27476 41214 48083 54952 82428 96166 130511 144249 164856 192332 261022 288498 336581 384664 391533 522044 576996 673162 783066 913577 1009743 1044088 1153992 1346324 1566132 1827154 2019486 2692648 2740731 3132264 3654308 4038972 5481462 6395039 7308616 8077944 10962924 12790078 19185117 21925848 25580156 38370234 51160312 76740468 153480936