Search a number
-
+
93098430 = 2335499691
BaseRepresentation
bin1011000110010…
…01000110111110
320111011220001000
411203021012332
5142313122210
613123231130
72210215665
oct543110676
9214156030
1093098430
1148608257
12272184a6
1316398339
14c515ddc
15828eac0
hex58c91be

93098430 has 64 divisors (see below), whose sum is σ = 249120000. Its totient is φ = 24740640.

The previous prime is 93098417. The next prime is 93098431. The reversal of 93098430 is 3489039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93098431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134385 + ... + 135075.

It is an arithmetic number, because the mean of its divisors is an integer number (3892500).

Almost surely, 293098430 is an apocalyptic number.

93098430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93098430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124560000).

93098430 is an abundant number, since it is smaller than the sum of its proper divisors (156021570).

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

93098430 is a wasteful number, since it uses less digits than its factorization.

93098430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93098430 is about 9648.7527691407. The cubic root of 93098430 is about 453.2252728068.

It can be divided in two parts, 93098 and 430, that added together give a triangular number (93528 = T432).

The spelling of 93098430 in words is "ninety-three million, ninety-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 499 691 998 1382 1497 2073 2495 2994 3455 4146 4491 4990 6219 6910 7485 8982 10365 12438 13473 14970 18657 20730 22455 26946 31095 37314 44910 62190 67365 93285 134730 186570 344809 689618 1034427 1724045 2068854 3103281 3448090 5172135 6206562 9309843 10344270 15516405 18619686 31032810 46549215 93098430