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149265420 = 223541471291
BaseRepresentation
bin10001110010110…
…01110000001100
3101101212110122220
420321121300030
5301202443140
622451135340
73461510103
oct1071316014
9341773586
10149265420
1177290357
1241ba4550
1324c02745
1415b7703a
15d186bd0
hex8e59c0c

149265420 has 96 divisors (see below), whose sum is σ = 437584896. Its totient is φ = 37977600.

The previous prime is 149265419. The next prime is 149265421. The reversal of 149265420 is 24562941.

It is an interprime number because it is at equal distance from previous prime (149265419) and next prime (149265421).

It is not an unprimeable number, because it can be changed into a prime (149265421) 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, 114975 + ... + 116265.

It is an arithmetic number, because the mean of its divisors is an integer number (4558176).

Almost surely, 2149265420 is an apocalyptic number.

149265420 is a gapful number since it is divisible by the number (10) 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 149265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448).

149265420 is an abundant number, since it is smaller than the sum of its proper divisors (288319476).

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

149265420 is a wasteful number, since it uses less digits than its factorization.

149265420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 149265420 is about 12217.4228051582. The cubic root of 149265420 is about 530.4605229535.

The spelling of 149265420 in words is "one hundred forty-nine million, two hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 123 141 164 188 205 235 246 282 410 470 492 564 615 705 820 940 1230 1291 1410 1927 2460 2582 2820 3854 3873 5164 5781 6455 7708 7746 9635 11562 12910 15492 19270 19365 23124 25820 28905 38540 38730 52931 57810 60677 77460 105862 115620 121354 158793 182031 211724 242708 264655 303385 317586 364062 529310 606770 635172 728124 793965 910155 1058620 1213540 1587930 1820310 2487757 3175860 3640620 4975514 7463271 9951028 12438785 14926542 24877570 29853084 37316355 49755140 74632710 149265420