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146913660 = 2232517411171
BaseRepresentation
bin10001100000110…
…11100101111100
3101020102222122200
420300123211330
5300102214120
622324511500
73432513465
oct1060334574
9336388580
10146913660
1175a24453
124124b590
132458b17a
1415723d6c
15cd6ee90
hex8c1b97c

146913660 has 144 divisors (see below), whose sum is σ = 483773472. Its totient is φ = 35942400.

The previous prime is 146913631. The next prime is 146913661. The reversal of 146913660 is 66319641.

146913660 is a `hidden beast` number, since 1 + 469 + 136 + 60 = 666.

146913660 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 not an unprimeable number, because it can be changed into a prime (146913661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124875 + ... + 126045.

It is an arithmetic number, because the mean of its divisors is an integer number (3359538).

Almost surely, 2146913660 is an apocalyptic number.

146913660 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 146913660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241886736).

146913660 is an abundant number, since it is smaller than the sum of its proper divisors (336859812).

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

146913660 is a wasteful number, since it uses less digits than its factorization.

146913660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 146913660 is about 12120.7945284127. The cubic root of 146913660 is about 527.6598618526.

It can be divided in two parts, 1469 and 13660, that added together give a square (15129 = 1232).

The spelling of 146913660 in words is "one hundred forty-six million, nine hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1171 1230 1394 1476 1530 1845 2091 2342 2460 2788 3060 3485 3513 3690 4182 4684 5855 6273 6970 7026 7380 8364 10455 10539 11710 12546 13940 14052 17565 19907 20910 21078 23420 25092 31365 35130 39814 41820 42156 48011 52695 59721 62730 70260 79628 96022 99535 105390 119442 125460 144033 179163 192044 199070 210780 238884 240055 288066 298605 358326 398140 432099 480110 576132 597210 716652 720165 816187 864198 895815 960220 1194420 1440330 1632374 1728396 1791630 2160495 2448561 2880660 3264748 3583260 4080935 4320990 4897122 7345683 8161870 8641980 9794244 12242805 14691366 16323740 24485610 29382732 36728415 48971220 73456830 146913660