Search a number
-
+
60936660 = 223252341359
BaseRepresentation
bin1110100001110…
…1000111010100
311020122220101100
43220131013110
5111044433120
610014030100
71336644621
oct350350724
9136586340
1060936660
1131440684
12184a8330
13c8173c5
148143348
15553a490
hex3a1d1d4

60936660 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 15121920.

The previous prime is 60936649. The next prime is 60936709. The reversal of 60936660 is 6663906.

60936660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169561 + ... + 169919.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 260936660 is an apocalyptic number.

60936660 is a gapful number since it is divisible by the number (60) 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 60936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

60936660 is an abundant number, since it is smaller than the sum of its proper divisors (137195820).

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

60936660 is a wasteful number, since it uses less digits than its factorization.

60936660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 60936660 is about 7806.1936947529. The cubic root of 60936660 is about 393.5134209975.

The spelling of 60936660 in words is "sixty million, nine hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 41 45 46 60 69 82 90 92 115 123 138 164 180 205 207 230 246 276 345 359 369 410 414 460 492 615 690 718 738 820 828 943 1035 1077 1230 1380 1436 1476 1795 1845 1886 2070 2154 2460 2829 3231 3590 3690 3772 4140 4308 4715 5385 5658 6462 7180 7380 8257 8487 9430 10770 11316 12924 14145 14719 16155 16514 16974 18860 21540 24771 28290 29438 32310 33028 33948 41285 42435 44157 49542 56580 58876 64620 73595 74313 82570 84870 88314 99084 123855 132471 147190 148626 165140 169740 176628 220785 247710 264942 294380 297252 338537 371565 441570 495420 529884 662355 677074 743130 883140 1015611 1324710 1354148 1486260 1692685 2031222 2649420 3046833 3385370 4062444 5078055 6093666 6770740 10156110 12187332 15234165 20312220 30468330 60936660