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151983 = 3313433
BaseRepresentation
bin100101000110101111
321201111000
4211012233
514330413
63131343
71202046
oct450657
9251430
10151983
11a4207
1273b53
1354240
143d55d
1530073
hex251af

151983 has 16 divisors (see below), whose sum is σ = 243040. Its totient is φ = 93312.

The previous prime is 151969. The next prime is 152003. The reversal of 151983 is 389151.

It is not a de Polignac number, because 151983 - 24 = 151967 is a prime.

It is a super-3 number, since 3×1519833 = 10531889483337261, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (15190).

2151983 is an apocalyptic number.

151983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

151983 is a deficient number, since it is larger than the sum of its proper divisors (91057).

151983 is a wasteful number, since it uses less digits than its factorization.

151983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 151983 is about 389.8499711427. The cubic root of 151983 is about 53.3660433025.

It can be divided in two parts, 1 and 51983, that added together give a square (51984 = 2282).

The spelling of 151983 in words is "one hundred fifty-one thousand, nine hundred eighty-three".

Divisors: 1 3 9 13 27 39 117 351 433 1299 3897 5629 11691 16887 50661 151983