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149894920 = 23572312467
BaseRepresentation
bin10001110111100…
…11011100001000
3101110001110011201
420323303130020
5301333114140
622512433544
73500041300
oct1073633410
9343043151
10149894920
11776802aa
12422488b4
1325093126
1415c9c600
15d25d49a
hex8ef3708

149894920 has 96 divisors (see below), whose sum is σ = 405146880. Its totient is φ = 49714560.

The previous prime is 149894917. The next prime is 149894977. The reversal of 149894920 is 29498941.

149894920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59527 + ... + 61993.

It is an arithmetic number, because the mean of its divisors is an integer number (4220280).

Almost surely, 2149894920 is an apocalyptic number.

149894920 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 149894920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202573440).

149894920 is an abundant number, since it is smaller than the sum of its proper divisors (255251960).

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

149894920 is a wasteful number, since it uses less digits than its factorization.

149894920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 149894920 is about 12243.1580893167. The cubic root of 149894920 is about 531.2051843164.

The spelling of 149894920 in words is "one hundred forty-nine million, eight hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 2467 3038 4340 4934 6076 7595 8680 9868 12152 12335 15190 17269 19736 24670 30380 34538 49340 60760 69076 76477 86345 98680 120883 138152 152954 172690 241766 305908 345380 382385 483532 535339 604415 611816 690760 764770 967064 1070678 1208830 1529540 2141356 2417660 2676695 3059080 3747373 4282712 4835320 5353390 7494746 10706780 14989492 18736865 21413560 29978984 37473730 74947460 149894920