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149719040 = 211514621
BaseRepresentation
bin10001110110010…
…00100000000000
3101102201111220122
420323020200000
5301312002130
622504555412
73465406442
oct1073104000
9342644818
10149719040
1177570149
1242182b68
1325031063
1415c54492
15d2262e5
hex8ec8800

149719040 has 48 divisors (see below), whose sum is σ = 359262540. Its totient is φ = 59883520.

The previous prime is 149719033. The next prime is 149719061. The reversal of 149719040 is 40917941.

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 29246464 = 10976^2 + 5408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2930 + ... + 17550.

Almost surely, 2149719040 is an apocalyptic number.

149719040 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 149719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179631270).

149719040 is an abundant number, since it is smaller than the sum of its proper divisors (209543500).

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

149719040 is an equidigital number, since it uses as much as digits as its factorization.

149719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 149719040 is about 12235.9731938248. The cubic root of 149719040 is about 530.9973388621.

The spelling of 149719040 in words is "one hundred forty-nine million, seven hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 14621 29242 58484 73105 116968 146210 233936 292420 467872 584840 935744 1169680 1871488 2339360 3742976 4678720 7485952 9357440 14971904 18714880 29943808 37429760 74859520 149719040