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151779980 = 225112193301
BaseRepresentation
bin10010000101111…
…11101010001100
3101120121012222202
421002333222030
5302323424410
623021101032
73522052142
oct1102775214
9346535882
10151779980
1178748600
12429b7778
13255a3151
141622d592
15d4d1ca5
hex90bfa8c

151779980 has 72 divisors (see below), whose sum is σ = 368899440. Its totient is φ = 52272000.

The previous prime is 151779973. The next prime is 151779989. The reversal of 151779980 is 89977151.

151779980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151779989) 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, 44330 + ... + 47630.

Almost surely, 2151779980 is an apocalyptic number.

151779980 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 151779980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720).

151779980 is an abundant number, since it is smaller than the sum of its proper divisors (217119460).

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

151779980 is a wasteful number, since it uses less digits than its factorization.

151779980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 47.

The square root of 151779980 is about 12319.9017853228. The cubic root of 151779980 is about 533.4227046412.

The spelling of 151779980 in words is "one hundred fifty-one million, seven hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 3301 4180 4598 6602 9196 11495 13204 16505 22990 33010 36311 45980 62719 66020 72622 125438 145244 181555 250876 313595 363110 399421 627190 689909 726220 798842 1254380 1379818 1597684 1997105 2759636 3449545 3994210 6899090 7588999 7988420 13798180 15177998 30355996 37944995 75889990 151779980