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149220792 = 2334767491
BaseRepresentation
bin10001110010011…
…10110110111000
3101101210012110000
420321032312320
5301200031132
622450153000
73461233020
oct1071166670
9341705400
10149220792
117725a876
1241b82760
1324bb8336
1415b64a80
15d17887c
hex8e4edb8

149220792 has 160 divisors (see below), whose sum is σ = 485781120. Its totient is φ = 41912640.

The previous prime is 149220779. The next prime is 149220821. The reversal of 149220792 is 297022941.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303667 + ... + 304157.

It is an arithmetic number, because the mean of its divisors is an integer number (3036132).

Almost surely, 2149220792 is an apocalyptic number.

149220792 is a gapful number since it is divisible by the number (12) 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 149220792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242890560).

149220792 is an abundant number, since it is smaller than the sum of its proper divisors (336560328).

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

149220792 is a wasteful number, since it uses less digits than its factorization.

149220792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149220792 is about 12215.5962605188. The cubic root of 149220792 is about 530.4076512481.

The spelling of 149220792 in words is "one hundred forty-nine million, two hundred twenty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 81 84 108 126 134 162 168 189 201 216 252 268 324 378 402 469 491 504 536 567 603 648 756 804 938 982 1134 1206 1407 1473 1512 1608 1809 1876 1964 2268 2412 2814 2946 3437 3618 3752 3928 4221 4419 4536 4824 5427 5628 5892 6874 7236 8442 8838 10311 10854 11256 11784 12663 13257 13748 14472 16884 17676 20622 21708 25326 26514 27496 30933 32897 33768 35352 37989 39771 41244 43416 50652 53028 61866 65794 75978 79542 82488 92799 98691 101304 106056 123732 131588 151956 159084 185598 197382 230279 247464 263176 278397 296073 303912 318168 371196 394764 460558 556794 592146 690837 742392 789528 888219 921116 1113588 1184292 1381674 1776438 1842232 2072511 2227176 2368584 2664657 2763348 3552876 4145022 5329314 5526696 6217533 7105752 8290044 10658628 12435066 16580088 18652599 21317256 24870132 37305198 49740264 74610396 149220792