Search a number
-
+
152014002420 = 22357251705443
BaseRepresentation
bin1000110110010010111…
…1011001100011110100
3112112101010011102210210
42031210233121203310
54442311041034140
6153500111345420
713661022462300
oct2154457314364
9475333142723
10152014002420
1159517a39a65
1225565222270
13114478ba077
147501052d00
153e4a80ad80
hex2364bd98f4

152014002420 has 72 divisors (see below), whose sum is σ = 495131331744. Its totient is φ = 34746057024.

The previous prime is 152014002337. The next prime is 152014002421. The reversal of 152014002420 is 24200410251.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152014002421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25849782 + ... + 25855661.

It is an arithmetic number, because the mean of its divisors is an integer number (6876824052).

Almost surely, 2152014002420 is an apocalyptic number.

152014002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152014002420 is an abundant number, since it is smaller than the sum of its proper divisors (343117329324).

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

152014002420 is a wasteful number, since it uses less digits than its factorization.

152014002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51705469 (or 51705460 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 152014002420 its reverse (24200410251), we get a palindrome (176214412671).

The spelling of 152014002420 in words is "one hundred fifty-two billion, fourteen million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 51705443 103410886 155116329 206821772 258527215 310232658 361938101 517054430 620465316 723876202 775581645 1034108860 1085814303 1447752404 1551163290 1809690505 2171628606 2533566707 3102326580 3619381010 4343257212 5067133414 5429071515 7238762020 7600700121 10134266828 10858143030 12667833535 15201400242 21716286060 25335667070 30402800484 38003500605 50671334140 76007001210 152014002420