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412672620 = 223517312421
BaseRepresentation
bin11000100110001…
…110001001101100
31001202111221102010
4120212032021230
51321121010440
6104541001220
713140442113
oct3046161154
91052457363
10412672620
111a1a41058
12b6253210
136765a7a9
143cb42c7a
1526368580
hex1898e26c

412672620 has 144 divisors (see below), whose sum is σ = 1267195104. Its totient is φ = 99993600.

The previous prime is 412672613. The next prime is 412672621. The reversal of 412672620 is 26276214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412672621) by changing a digit.

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, 980010 + ... + 980430.

It is an arithmetic number, because the mean of its divisors is an integer number (8799966).

Almost surely, 2412672620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412672620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633597552).

412672620 is an abundant number, since it is smaller than the sum of its proper divisors (854522484).

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

412672620 is a wasteful number, since it uses less digits than its factorization.

412672620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 412672620 is about 20314.3451777309. The cubic root of 412672620 is about 744.5065994159.

The spelling of 412672620 in words is "four hundred twelve million, six hundred seventy-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 421 465 510 527 620 842 930 961 1020 1054 1263 1581 1684 1860 1922 2105 2108 2526 2635 2883 3162 3844 4210 4805 5052 5270 5766 6315 6324 7157 7905 8420 9610 10540 11532 12630 13051 14314 14415 15810 16337 19220 21471 25260 26102 28628 28830 31620 32674 35785 39153 42942 49011 52204 57660 65255 65348 71570 78306 81685 85884 98022 107355 130510 143140 156612 163370 195765 196044 214710 221867 245055 261020 326740 391530 404581 429420 443734 490110 665601 783060 809162 887468 980220 1109335 1213743 1331202 1618324 2022905 2218670 2427486 2662404 3328005 4045810 4437340 4854972 6068715 6656010 6877877 8091620 12137430 13312020 13755754 20633631 24274860 27511508 34389385 41267262 68778770 82534524 103168155 137557540 206336310 412672620