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93369420 = 2232519231187
BaseRepresentation
bin1011001000010…
…11010001001100
320111200122202200
411210023101030
5142400310140
613133121500
72212425024
oct544132114
9214618680
1093369420
1148782911
1227329290
13164617a1
14c586a84
1582e5030
hex590b44c

93369420 has 144 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 22543488.

The previous prime is 93369403. The next prime is 93369421. The reversal of 93369420 is 2496339.

It is a happy number.

It is a super-2 number, since 2×933694202 = 17435697182272800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (93369421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78067 + ... + 79253.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 293369420 is an apocalyptic number.

93369420 is a gapful number since it is divisible by the number (90) 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 93369420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

93369420 is an abundant number, since it is smaller than the sum of its proper divisors (217981620).

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

93369420 is a wasteful number, since it uses less digits than its factorization.

93369420 is an odious number, because the sum of its binary digits is odd.

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

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

The square root of 93369420 is about 9662.7853127346. The cubic root of 93369420 is about 453.6645947221.

The spelling of 93369420 in words is "ninety-three million, three hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1187 1311 1380 1710 1748 2070 2185 2374 2622 3420 3561 3933 4140 4370 4748 5244 5935 6555 7122 7866 8740 10683 11870 13110 14244 15732 17805 19665 21366 22553 23740 26220 27301 35610 39330 42732 45106 53415 54602 67659 71220 78660 81903 90212 106830 109204 112765 135318 136505 163806 202977 213660 225530 245709 270636 273010 327612 338295 405954 409515 451060 491418 518719 546020 676590 811908 819030 982836 1014885 1037438 1228545 1353180 1556157 1638060 2029770 2074876 2457090 2593595 3112314 4059540 4668471 4914180 5187190 6224628 7780785 9336942 10374380 15561570 18673884 23342355 31123140 46684710 93369420