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93292020 = 22335315573
BaseRepresentation
bin1011000111110…
…00010111110100
320111112201121000
411203320113310
5142340321040
613131323300
72211653253
oct543702764
9214481530
1093292020
114872a748
12272b0530
13164354a3
14c56679a
1582cc130
hex58f85f4

93292020 has 96 divisors (see below), whose sum is σ = 299658240. Its totient is φ = 24071040.

The previous prime is 93292013. The next prime is 93292027. The reversal of 93292020 is 2029239.

It is an interprime number because it is at equal distance from previous prime (93292013) and next prime (93292027).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93292027) 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, 13954 + ... + 19526.

It is an arithmetic number, because the mean of its divisors is an integer number (3121440).

Almost surely, 293292020 is an apocalyptic number.

93292020 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 93292020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149829120).

93292020 is an abundant number, since it is smaller than the sum of its proper divisors (206366220).

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

93292020 is a wasteful number, since it uses less digits than its factorization.

93292020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 93292020 is about 9658.7794259937. The cubic root of 93292020 is about 453.5392026799.

The spelling of 93292020 in words is "ninety-three million, two hundred ninety-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5573 5580 8370 11146 16719 16740 22292 27865 33438 50157 55730 66876 83595 100314 111460 150471 167190 172763 200628 250785 300942 334380 345526 501570 518289 601884 691052 752355 863815 1003140 1036578 1504710 1554867 1727630 2073156 2591445 3009420 3109734 3455260 4664601 5182890 6219468 7774335 9329202 10365780 15548670 18658404 23323005 31097340 46646010 93292020