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93941430 = 235112312377
BaseRepresentation
bin1011001100101…
…10111010110110
320112202201102020
411212112322312
5143022111210
613153254010
72220326502
oct546267266
9215681366
1093941430
1149033650
1227564306
1316601c5b
14c695302
1583a9770
hex5996eb6

93941430 has 64 divisors (see below), whose sum is σ = 256670208. Its totient is φ = 21781760.

The previous prime is 93941401. The next prime is 93941461. The reversal of 93941430 is 3414939.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 93941391 and 93941400.

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, 1402 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (4010472).

Almost surely, 293941430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93941430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128335104).

93941430 is an abundant number, since it is smaller than the sum of its proper divisors (162728778).

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

93941430 is a wasteful number, since it uses less digits than its factorization.

93941430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12421.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 93941430 is about 9692.3387270565. The cubic root of 93941430 is about 454.5891392318.

The spelling of 93941430 in words is "ninety-three million, nine hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 12377 24754 37131 61885 74262 123770 136147 185655 272294 284671 371310 408441 569342 680735 816882 854013 1361470 1423355 1708026 2042205 2846710 3131381 4084410 4270065 6262762 8540130 9394143 15656905 18788286 31313810 46970715 93941430