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149797620 = 223357231723
BaseRepresentation
bin10001110110110…
…11101011110100
3101102212111201000
420323123223310
5301322010440
622510403300
73466154520
oct1073335364
9342774630
10149797620
1177614195
1242200530
132505aa5b
1415c74d80
15d23e730
hex8edbaf4

149797620 has 192 divisors, whose sum is σ = 556093440. Its totient is φ = 32731776.

The previous prime is 149797589. The next prime is 149797621. The reversal of 149797620 is 26797941.

149797620 is a `hidden beast` number, since 14 + 9 + 7 + 9 + 7 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149797621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86079 + ... + 87801.

It is an arithmetic number, because the mean of its divisors is an integer number (2896320).

Almost surely, 2149797620 is an apocalyptic number.

149797620 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 149797620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278046720).

149797620 is an abundant number, since it is smaller than the sum of its proper divisors (406295820).

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

149797620 is a wasteful number, since it uses less digits than its factorization.

149797620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 149797620 is about 12239.1837963158. The cubic root of 149797620 is about 531.0902205537.

The spelling of 149797620 in words is "one hundred forty-nine million, seven hundred ninety-seven thousand, six hundred twenty".