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163307628 = 2232113153251
BaseRepresentation
bin10011011101111…
…10000001101100
3102101021212221200
421232332001230
5313301321003
624112125500
74022043351
oct1156760154
9371255850
10163307628
1184201490
1246836890
1327aab143
1417990628
15e50c6a3
hex9bbe06c

163307628 has 144 divisors (see below), whose sum is σ = 475517952. Its totient is φ = 46800000.

The previous prime is 163307591. The next prime is 163307647. The reversal of 163307628 is 826703361.

It is a happy number.

163307628 is a nontrivial binomial coefficient, being equal to C(18073, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 163307592 and 163307601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650503 + ... + 650753.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2163307628 is an apocalyptic number.

163307628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

163307628 is the 18072-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163307628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

163307628 is an abundant number, since it is smaller than the sum of its proper divisors (312210324).

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

163307628 is a wasteful number, since it uses less digits than its factorization.

163307628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 163307628 is about 12779.1872981031. The cubic root of 163307628 is about 546.5989884159.

The spelling of 163307628 in words is "one hundred sixty-three million, three hundred seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 53 62 66 93 99 106 124 132 159 186 198 212 251 279 318 341 372 396 477 502 558 583 636 682 753 954 1004 1023 1116 1166 1364 1506 1643 1749 1908 2046 2259 2332 2761 3012 3069 3286 3498 4092 4518 4929 5247 5522 6138 6572 6996 7781 8283 9036 9858 10494 11044 12276 13303 14787 15562 16566 18073 19716 20988 23343 24849 26606 29574 31124 33132 36146 39909 46686 49698 53212 54219 59148 70029 72292 79818 85591 93372 99396 108438 119727 140058 146333 159636 162657 171182 216876 239454 256773 280116 292666 325314 342364 412393 438999 478908 513546 585332 650628 770319 824786 877998 1027092 1237179 1316997 1540638 1649572 1755996 2474358 2633994 3081276 3711537 4536323 4948716 5267988 7423074 9072646 13608969 14846148 18145292 27217938 40826907 54435876 81653814 163307628