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141906672 = 2432985463
BaseRepresentation
bin10000111010101…
…01001011110000
3100220000121100200
420131111023300
5242312003142
622025315200
73342121035
oct1035251360
9326017320
10141906672
1173114646
123b635b00
132352715b
1414bbd38c
15c6d164c
hex87552f0

141906672 has 30 divisors (see below), whose sum is σ = 397141992. Its totient is φ = 47302176.

The previous prime is 141906631. The next prime is 141906683. The reversal of 141906672 is 276609141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492588 + ... + 492875.

Almost surely, 2141906672 is an apocalyptic number.

141906672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141906672 is an abundant number, since it is smaller than the sum of its proper divisors (255235320).

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

141906672 is a wasteful number, since it uses less digits than its factorization.

141906672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985477 (or 985468 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 141906672 is about 11912.4586882809. The cubic root of 141906672 is about 521.5960233742.

It can be divided in two parts, 14190 and 6672, that multiplied together give a triangular number (94675680 = T13760).

The spelling of 141906672 in words is "one hundred forty-one million, nine hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 985463 1970926 2956389 3941852 5912778 7883704 8869167 11825556 15767408 17738334 23651112 35476668 47302224 70953336 141906672