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60130944 = 2733127137
BaseRepresentation
bin1110010101100…
…0011010000000
311012010222011000
43211120122000
5110343142234
65544452000
71330050606
oct345303200
9135128130
1060130944
1130a402a5
121817a000
13c5c4753
147db3876
15542b899
hex3958680

60130944 has 128 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 19740672.

The previous prime is 60130943. The next prime is 60130951. The reversal of 60130944 is 44903106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×601309442 = 7231460852662272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (60130943) 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, 438844 + ... + 438980.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 260130944 is an apocalyptic number.

60130944 is a gapful number since it is divisible by the number (64) 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 60130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

60130944 is an abundant number, since it is smaller than the sum of its proper divisors (120041856).

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

60130944 is a wasteful number, since it uses less digits than its factorization.

60130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 60130944 is about 7754.4144846661. The cubic root of 60130944 is about 391.7713507612.

The spelling of 60130944 in words is "sixty million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 137 144 192 216 254 274 288 381 384 411 432 508 548 576 762 822 864 1016 1096 1143 1152 1233 1524 1644 1728 2032 2192 2286 2466 3048 3288 3429 3456 3699 4064 4384 4572 4932 6096 6576 6858 7398 8128 8768 9144 9864 12192 13152 13716 14796 16256 17399 17536 18288 19728 24384 26304 27432 29592 34798 36576 39456 48768 52197 52608 54864 59184 69596 73152 78912 104394 109728 118368 139192 146304 156591 157824 208788 219456 236736 278384 313182 417576 438912 469773 473472 556768 626364 835152 939546 1113536 1252728 1670304 1879092 2227072 2505456 3340608 3758184 5010912 6681216 7516368 10021824 15032736 20043648 30065472 60130944