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424001136 = 243132331953
BaseRepresentation
bin11001010001011…
…011111001110000
31002112211111012210
4121101123321300
51332021014021
6110023452120
713335643626
oct3121337160
91075744183
10424001136
111a8379369
12b9bb7040
1369ac5c60
1440451516
1527354e76
hex1945be70

424001136 has 160 divisors (see below), whose sum is σ = 1271918592. Its totient is φ = 120637440.

The previous prime is 424001129. The next prime is 424001153. The reversal of 424001136 is 631100424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444436 + ... + 445388.

Almost surely, 2424001136 is an apocalyptic number.

424001136 is a gapful number since it is divisible by the number (46) 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 424001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635959296).

424001136 is an abundant number, since it is smaller than the sum of its proper divisors (847917456).

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

424001136 is a wasteful number, since it uses less digits than its factorization.

424001136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 424001136 is about 20591.2878664740. The cubic root of 424001136 is about 751.2578217777.

The spelling of 424001136 in words is "four hundred twenty-four million, one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 31 39 46 48 52 62 69 78 92 93 104 124 138 156 184 186 208 248 276 299 312 368 372 403 496 552 598 624 713 744 806 897 953 1104 1196 1209 1426 1488 1612 1794 1906 2139 2392 2418 2852 2859 3224 3588 3812 4278 4784 4836 5704 5718 6448 7176 7624 8556 9269 9672 11408 11436 12389 14352 15248 17112 18538 19344 21919 22872 24778 27807 29543 34224 37076 37167 43838 45744 49556 55614 59086 65757 74152 74334 87676 88629 99112 111228 118172 131514 148304 148668 175352 177258 198224 222456 236344 263028 284947 297336 350704 354516 384059 444912 472688 526056 569894 594672 679489 709032 768118 854841 1052112 1139788 1152177 1358978 1418064 1536236 1709682 2038467 2279576 2304354 2717956 3072472 3419364 4076934 4559152 4608708 5435912 6144944 6838728 8153868 8833357 9217416 10871824 13677456 16307736 17666714 18434832 26500071 32615472 35333428 53000142 70666856 106000284 141333712 212000568 424001136