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149799040 = 2751997127
BaseRepresentation
bin10001110110111…
…00000010000000
3101102212120122121
420323130002000
5301322032130
622510414024
73466161616
oct1073340200
9342776577
10149799040
1177615266
1242201314
132505b5b1
1415c756b6
15d23ed7a
hex8edc080

149799040 has 128 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 55738368.

The previous prime is 149799031. The next prime is 149799061. The reversal of 149799040 is 40997941.

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

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 1179457 + ... + 1179583.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2149799040 is an apocalyptic number.

149799040 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 149799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

149799040 is an abundant number, since it is smaller than the sum of its proper divisors (234047360).

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

149799040 is a wasteful number, since it uses less digits than its factorization.

149799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 149799040 is about 12239.2418065826. The cubic root of 149799040 is about 531.0918986973.

The spelling of 149799040 in words is "one hundred forty-nine million, seven hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 97 127 128 152 160 190 194 254 304 320 380 388 485 508 608 635 640 760 776 970 1016 1216 1270 1520 1552 1843 1940 2032 2413 2432 2540 3040 3104 3686 3880 4064 4826 5080 6080 6208 7372 7760 8128 9215 9652 10160 12065 12160 12319 12416 14744 15520 16256 18430 19304 20320 24130 24638 29488 31040 36860 38608 40640 48260 49276 58976 61595 62080 73720 77216 81280 96520 98552 117952 123190 147440 154432 193040 197104 234061 235904 246380 294880 308864 386080 394208 468122 492760 589760 772160 788416 936244 985520 1170305 1179520 1544320 1576832 1872488 1971040 2340610 3744976 3942080 4681220 7489952 7884160 9362440 14979904 18724880 29959808 37449760 74899520 149799040