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940273164 = 223347712609
BaseRepresentation
bin111000000010110…
…110111000001100
32102112021211022000
4320002312320030
53411202220124
6233145152300
732205122115
oct7002667014
92375254260
10940273164
1144283a166
12222a8b690
1311ca5766c
148cc4120c
15578346c9
hex380b6e0c

940273164 has 96 divisors (see below), whose sum is σ = 2525644800. Its totient is φ = 302319360.

The previous prime is 940273151. The next prime is 940273171. The reversal of 940273164 is 461372049.

It is a super-2 number, since 2×9402731642 = 1768227245877141792, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359092 + ... + 361700.

It is an arithmetic number, because the mean of its divisors is an integer number (26308800).

Almost surely, 2940273164 is an apocalyptic number.

940273164 is a gapful number since it is divisible by the number (94) 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 940273164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262822400).

940273164 is an abundant number, since it is smaller than the sum of its proper divisors (1585371636).

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

940273164 is a wasteful number, since it uses less digits than its factorization.

940273164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 940273164 is about 30663.8739235603. The cubic root of 940273164 is about 979.6809887665.

The spelling of 940273164 in words is "nine hundred forty million, two hundred seventy-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 71 94 108 141 142 188 213 282 284 423 426 564 639 846 852 1269 1278 1692 1917 2538 2556 2609 3337 3834 5076 5218 6674 7668 7827 10011 10436 13348 15654 20022 23481 30033 31308 40044 46962 60066 70443 90099 93924 120132 122623 140886 180198 185239 245246 281772 360396 367869 370478 490492 555717 735738 740956 1103607 1111434 1471476 1667151 2207214 2222868 3310821 3334302 4414428 5001453 6621642 6668604 8706233 10002906 13243284 17412466 20005812 26118699 34824932 52237398 78356097 104474796 156712194 235068291 313424388 470136582 940273164