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149623040 = 285716699
BaseRepresentation
bin10001110101100…
…01000100000000
3101102112122020002
420322301010000
5301300414130
622502535132
73464526530
oct1072610400
9342478202
10149623040
1177505006
12421374a8
1324cc9458
1415c2b4c0
15d207b45
hex8eb1100

149623040 has 72 divisors (see below), whose sum is σ = 409617600. Its totient is φ = 51296256.

The previous prime is 149623039. The next prime is 149623051. The reversal of 149623040 is 40326941.

149623040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149622994 and 149623012.

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, 611 + ... + 17309.

Almost surely, 2149623040 is an apocalyptic number.

149623040 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 149623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204808800).

149623040 is an abundant number, since it is smaller than the sum of its proper divisors (259994560).

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

149623040 is an equidigital number, since it uses as much as digits as its factorization.

149623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 149623040 is about 12232.0497055890. The cubic root of 149623040 is about 530.8838225860.

Adding to 149623040 its reverse (40326941), we get a palindrome (189949981).

The spelling of 149623040 in words is "one hundred forty-nine million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 16699 33398 66796 83495 116893 133592 166990 233786 267184 333980 467572 534368 584465 667960 935144 1068736 1168930 1335920 1870288 2137472 2337860 2671840 3740576 4274944 4675720 5343680 7481152 9351440 10687360 14962304 18702880 21374720 29924608 37405760 74811520 149623040