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45068190 = 23517194651
BaseRepresentation
bin1010101111101…
…0111110011110
310010210200221020
42223322332132
543014140230
64245545010
71055034066
oct253727636
9103720836
1045068190
1123492442
1213115166
13944c68b
145db23a6
153e53810
hex2afaf9e

45068190 has 64 divisors (see below), whose sum is σ = 120579840. Its totient is φ = 10713600.

The previous prime is 45068167. The next prime is 45068213. The reversal of 45068190 is 9186054.

It is an interprime number because it is at equal distance from previous prime (45068167) and next prime (45068213).

It is a super-2 number, since 2×450681902 = 4062283499752200, which contains 22 as substring.

It is a Curzon number.

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, 7365 + ... + 12015.

It is an arithmetic number, because the mean of its divisors is an integer number (1884060).

Almost surely, 245068190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45068190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60289920).

45068190 is an abundant number, since it is smaller than the sum of its proper divisors (75511650).

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

45068190 is a wasteful number, since it uses less digits than its factorization.

45068190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 45068190 is about 6713.2845910180. The cubic root of 45068190 is about 355.8689024086.

The spelling of 45068190 in words is "forty-five million, sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4651 4845 9302 9690 13953 23255 27906 46510 69765 79067 88369 139530 158134 176738 237201 265107 395335 441845 474402 530214 790670 883690 1186005 1325535 1502273 2372010 2651070 3004546 4506819 7511365 9013638 15022730 22534095 45068190