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149992320 = 273578121
BaseRepresentation
bin10001111000010…
…11001110000000
3101110020101210010
420330023032000
5301344223240
622514504520
73500625252
oct1074131600
9343211703
10149992320
11777374a5
1242295140
13250c856a
1415cc5cd2
15d27c280
hex8f0b380

149992320 has 64 divisors (see below), whose sum is σ = 478106640. Its totient is φ = 39997440.

The previous prime is 149992313. The next prime is 149992331. The reversal of 149992320 is 23299941.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 37141 + ... + 40980.

Almost surely, 2149992320 is an apocalyptic number.

149992320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149992320 is an abundant number, since it is smaller than the sum of its proper divisors (328114320).

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

149992320 is an equidigital number, since it uses as much as digits as its factorization.

149992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78143 (or 78131 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 149992320 is about 12247.1351752155. The cubic root of 149992320 is about 531.3202164167.

The spelling of 149992320 in words is "one hundred forty-nine million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 78121 156242 234363 312484 390605 468726 624968 781210 937452 1171815 1249936 1562420 1874904 2343630 2499872 3124840 3749808 4687260 4999744 6249680 7499616 9374520 9999488 12499360 14999232 18749040 24998720 29998464 37498080 49997440 74996160 149992320