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153608130 = 233513107409
BaseRepresentation
bin10010010011111…
…01111111000010
3101201001002202000
421021331333002
5303310430010
623124204430
73543435054
oct1111757702
9351032660
10153608130
1179787075
1243539716
1325a932b0
14165878d4
15d7437c0
hex927dfc2

153608130 has 128 divisors (see below), whose sum is σ = 446342400. Its totient is φ = 37366272.

The previous prime is 153608101. The next prime is 153608137. The reversal of 153608130 is 31806351.

153608130 is a `hidden beast` number, since 1 + 53 + 608 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153608094 and 153608103.

It is not an unprimeable number, because it can be changed into a prime (153608137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375366 + ... + 375774.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2153608130 is an apocalyptic number.

153608130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153608130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

153608130 is an abundant number, since it is smaller than the sum of its proper divisors (292734270).

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

153608130 is a wasteful number, since it uses less digits than its factorization.

153608130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153608130 is about 12393.8746968008. The cubic root of 153608130 is about 535.5558086662. Note that the first 3 decimals are identical.

The spelling of 153608130 in words is "one hundred fifty-three million, six hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 321 351 390 409 535 585 642 702 818 963 1070 1170 1227 1391 1605 1755 1926 2045 2454 2782 2889 3210 3510 3681 4090 4173 4815 5317 5778 6135 6955 7362 8346 9630 10634 11043 12270 12519 13910 14445 15951 18405 20865 22086 25038 26585 28890 31902 36810 37557 41730 43763 47853 53170 55215 62595 75114 79755 87526 95706 110430 125190 131289 143559 159510 187785 218815 239265 262578 287118 375570 393867 437630 478530 568919 656445 717795 787734 1137838 1181601 1312890 1435590 1706757 1969335 2363202 2844595 3413514 3938670 5120271 5689190 5908005 8533785 10240542 11816010 15360813 17067570 25601355 30721626 51202710 76804065 153608130