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149066880 = 2735174567
BaseRepresentation
bin10001110001010…
…01010010000000
3101101111101022120
420320221102000
5301130120010
622443004240
73460022214
oct1070512200
9341441276
10149066880
1177165176
1241b09680
1324b63271
1415b24944
15d147e70
hex8e29480

149066880 has 128 divisors (see below), whose sum is σ = 503210880. Its totient is φ = 37404672.

The previous prime is 149066861. The next prime is 149066891. The reversal of 149066880 is 88660941.

It is a tau number, because it is divible by the number of its divisors (128).

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, 30357 + ... + 34923.

It is an arithmetic number, because the mean of its divisors is an integer number (3931335).

Almost surely, 2149066880 is an apocalyptic number.

149066880 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 149066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251605440).

149066880 is an abundant number, since it is smaller than the sum of its proper divisors (354144000).

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

149066880 is a wasteful number, since it uses less digits than its factorization.

149066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 149066880 is about 12209.2948199312. The cubic root of 149066880 is about 530.2252276396.

The spelling of 149066880 in words is "one hundred forty-nine million, sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 4567 5440 6528 8160 9134 10880 13701 16320 18268 22835 27402 32640 36536 45670 54804 68505 73072 77639 91340 109608 137010 146144 155278 182680 219216 232917 274020 292288 310556 365360 388195 438432 465834 548040 584576 621112 730720 776390 876864 931668 1096080 1164585 1242224 1461440 1552780 1753728 1863336 2192160 2329170 2484448 2922880 3105560 3726672 4384320 4658340 4968896 6211120 7453344 8768640 9316680 9937792 12422240 14906688 18633360 24844480 29813376 37266720 49688960 74533440 149066880