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149078016 = 21433337
BaseRepresentation
bin10001110001011…
…00000000000000
3101101111221121000
420320230000000
5301130444031
622443132000
73460066533
oct1070540000
9341457530
10149078016
117717257a
1241b14000
1324b68359
1415b28a1a
15d14b3e6
hex8e2c000

149078016 has 120 divisors (see below), whose sum is σ = 443009840. Its totient is φ = 49545216.

The previous prime is 149077997. The next prime is 149078023. The reversal of 149078016 is 610870941.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442200 + ... + 442536.

Almost surely, 2149078016 is an apocalyptic number.

149078016 is a gapful number since it is divisible by the number (16) 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 149078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221504920).

149078016 is an abundant number, since it is smaller than the sum of its proper divisors (293931824).

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

149078016 is an frugal number, since it uses more digits than its factorization.

149078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 149078016 is about 12209.7508574090. The cubic root of 149078016 is about 530.2384307537.

The spelling of 149078016 in words is "one hundred forty-nine million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 337 384 432 512 576 674 768 864 1011 1024 1152 1348 1536 1728 2022 2048 2304 2696 3033 3072 3456 4044 4096 4608 5392 6066 6144 6912 8088 8192 9099 9216 10784 12132 12288 13824 16176 16384 18198 18432 21568 24264 24576 27648 32352 36396 36864 43136 48528 49152 55296 64704 72792 73728 86272 97056 110592 129408 145584 147456 172544 194112 221184 258816 291168 345088 388224 442368 517632 582336 690176 776448 1035264 1164672 1380352 1552896 2070528 2329344 2760704 3105792 4141056 4658688 5521408 6211584 8282112 9317376 12423168 16564224 18634752 24846336 37269504 49692672 74539008 149078016