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149919510 = 23513537253
BaseRepresentation
bin10001110111110…
…01011100010110
3101110002200220110
420323321130112
5301334411020
622513143450
73500203056
oct1073713426
9343080813
10149919510
1177697824
124225ab86
13250a1390
1415ca7566
15d2658e0
hex8ef9716

149919510 has 64 divisors (see below), whose sum is σ = 394849728. Its totient is φ = 36201984.

The previous prime is 149919421. The next prime is 149919547. The reversal of 149919510 is 15919941.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17044 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (6169527).

Almost surely, 2149919510 is an apocalyptic number.

149919510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149919510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864).

149919510 is an abundant number, since it is smaller than the sum of its proper divisors (244930218).

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

149919510 is a wasteful number, since it uses less digits than its factorization.

149919510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329.

The product of its (nonzero) digits is 14580, while the sum is 39.

The square root of 149919510 is about 12244.1622824920. The cubic root of 149919510 is about 531.2342304892.

The spelling of 149919510 in words is "one hundred forty-nine million, nine hundred nineteen thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 7253 10335 14506 20670 21759 36265 43518 72530 94289 108795 188578 217590 282867 384409 471445 565734 768818 942890 1153227 1414335 1922045 2306454 2828670 3844090 4997317 5766135 9994634 11532270 14991951 24986585 29983902 49973170 74959755 149919510