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149050368 = 21035599
BaseRepresentation
bin10001110001001…
…01010000000000
3101101110112200000
420320211100000
5301124102433
622442400000
73456623115
oct1070452000
9341415600
10149050368
1177153825
1241b00000
1324b588ac
1415b1c90c
15d143113
hex8e25400

149050368 has 132 divisors (see below), whose sum is σ = 447064800. Its totient is φ = 49600512.

The previous prime is 149050361. The next prime is 149050379. The reversal of 149050368 is 863050941.

149050368 is a `hidden beast` number, since 1 + 4 + 90 + 503 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149050361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248533 + ... + 249131.

Almost surely, 2149050368 is an apocalyptic number.

149050368 is a gapful number since it is divisible by the number (18) 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 149050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223532400).

149050368 is an abundant number, since it is smaller than the sum of its proper divisors (298014432).

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

149050368 is an frugal number, since it uses more digits than its factorization.

149050368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149050368 is about 12208.6185950745. The cubic root of 149050368 is about 530.2056493978.

The spelling of 149050368 in words is "one hundred forty-nine million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 599 648 768 864 972 1024 1152 1198 1296 1536 1728 1797 1944 2304 2396 2592 3072 3456 3594 3888 4608 4792 5184 5391 6912 7188 7776 9216 9584 10368 10782 13824 14376 15552 16173 19168 20736 21564 27648 28752 31104 32346 38336 41472 43128 48519 57504 62208 64692 76672 82944 86256 97038 115008 124416 129384 145557 153344 172512 194076 230016 248832 258768 291114 306688 345024 388152 460032 517536 582228 613376 690048 776304 920064 1035072 1164456 1380096 1552608 1840128 2070144 2328912 2760192 3105216 4140288 4657824 5520384 6210432 8280576 9315648 12420864 16561152 18631296 24841728 37262592 49683456 74525184 149050368