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149474064 = 243171931311
BaseRepresentation
bin10001110100011…
…00101100010000
3101102021001212110
420322030230100
5301231132224
622455425320
73463336305
oct1072145420
9342231773
10149474064
1177413093
1242085240
1324c766bc
1415bcd0ac
15d1c8929
hex8e8cb10

149474064 has 160 divisors (see below), whose sum is σ = 445685760. Its totient is φ = 42854400.

The previous prime is 149474057. The next prime is 149474071. The reversal of 149474064 is 460474941.

It is an interprime number because it is at equal distance from previous prime (149474057) and next prime (149474071).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480469 + ... + 480779.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2149474064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149474064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

149474064 is an abundant number, since it is smaller than the sum of its proper divisors (296211696).

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

149474064 is a wasteful number, since it uses less digits than its factorization.

149474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 149474064 is about 12225.9586127224. The cubic root of 149474064 is about 530.7075680648.

The spelling of 149474064 in words is "one hundred forty-nine million, four hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 31 34 38 48 51 57 62 68 76 93 102 114 124 136 152 186 204 228 248 272 304 311 323 372 408 456 496 527 589 622 646 744 816 912 933 969 1054 1178 1244 1292 1488 1581 1767 1866 1938 2108 2356 2488 2584 3162 3534 3732 3876 4216 4712 4976 5168 5287 5909 6324 7068 7464 7752 8432 9424 9641 10013 10574 11818 12648 14136 14928 15504 15861 17727 19282 20026 21148 23636 25296 28272 28923 30039 31722 35454 38564 40052 42296 47272 57846 60078 63444 70908 77128 80104 84592 94544 100453 115692 120156 126888 141816 154256 160208 163897 183179 200906 231384 240312 253776 283632 301359 327794 366358 401812 462768 480624 491691 549537 602718 655588 732716 803624 983382 1099074 1205436 1311176 1465432 1607248 1966764 2198148 2410872 2622352 2930864 3114043 3933528 4396296 4821744 6228086 7867056 8792592 9342129 12456172 18684258 24912344 37368516 49824688 74737032 149474064