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149309440 = 211572083
BaseRepresentation
bin10001110011001…
…00100000000000
3101101221201001021
420321210200000
5301210400230
622452115224
73462052330
oct1071444000
9341851037
10149309440
1177310435
1242005b14
1324c197a7
1415b890c0
15d194c7a
hex8e64800

149309440 has 96 divisors (see below), whose sum is σ = 409631040. Its totient is φ = 51167232.

The previous prime is 149309437. The next prime is 149309497. The reversal of 149309440 is 44903941.

It is a super-2 number, since 2×1493094402 = 44586617746227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149309396 and 149309405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70639 + ... + 72721.

It is an arithmetic number, because the mean of its divisors is an integer number (4266990).

Almost surely, 2149309440 is an apocalyptic number.

149309440 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 149309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204815520).

149309440 is an abundant number, since it is smaller than the sum of its proper divisors (260321600).

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

149309440 is an equidigital number, since it uses as much as digits as its factorization.

149309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 149309440 is about 12219.2241979595. The cubic root of 149309440 is about 530.5126640257.

The spelling of 149309440 in words is "one hundred forty-nine million, three hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2083 2240 2560 3584 4166 4480 5120 7168 8332 8960 10240 10415 14336 14581 16664 17920 20830 29162 33328 35840 41660 58324 66656 71680 72905 83320 116648 133312 145810 166640 233296 266624 291620 333280 466592 533248 583240 666560 933184 1066496 1166480 1333120 1866368 2132992 2332960 2666240 3732736 4265984 4665920 5332480 7465472 9331840 10664960 14930944 18663680 21329920 29861888 37327360 74654720 149309440