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93422640 = 2435974013
BaseRepresentation
bin1011001000110…
…00010000110000
320111210100202210
411210120100300
5142404011030
613134212120
72213036133
oct544302060
9214710683
1093422640
11488098a3
1227354040
131647ca8c
14c59c21a
158305bb0
hex5918430

93422640 has 80 divisors (see below), whose sum is σ = 292668768. Its totient is φ = 24649728.

The previous prime is 93422587. The next prime is 93422683. The reversal of 93422640 is 4622439.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 93422598 and 93422607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21274 + ... + 25286.

Almost surely, 293422640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146334384).

93422640 is an abundant number, since it is smaller than the sum of its proper divisors (199246128).

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

93422640 is a wasteful number, since it uses less digits than its factorization.

93422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 93422640 is about 9665.5387847755. The cubic root of 93422640 is about 453.7507737011.

The spelling of 93422640 in words is "ninety-three million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4013 4656 5820 7760 8026 11640 12039 16052 20065 23280 24078 32104 40130 48156 60195 64208 80260 96312 120390 160520 192624 240780 321040 389261 481560 778522 963120 1167783 1557044 1946305 2335566 3114088 3892610 4671132 5838915 6228176 7785220 9342264 11677830 15570440 18684528 23355660 31140880 46711320 93422640