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141649640 = 235112313997
BaseRepresentation
bin10000111000101…
…10011011101000
3100212112112202222
420130112123220
5242230242030
622020013212
73340000466
oct1034263350
9325475688
10141649640
1172a59520
123b531208
1323467172
1414b53836
15c6803e5
hex87166e8

141649640 has 64 divisors (see below), whose sum is σ = 362828160. Its totient is φ = 49265920.

The previous prime is 141649637. The next prime is 141649667. The reversal of 141649640 is 46946141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141649640.

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 15 ways as a sum of consecutive naturals, for example, 3122 + ... + 17118.

It is an arithmetic number, because the mean of its divisors is an integer number (5669190).

Almost surely, 2141649640 is an apocalyptic number.

141649640 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 141649640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181414080).

141649640 is an abundant number, since it is smaller than the sum of its proper divisors (221178520).

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

141649640 is a wasteful number, since it uses less digits than its factorization.

141649640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14042 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 141649640 is about 11901.6654296783. The cubic root of 141649640 is about 521.2809151115.

The spelling of 141649640 in words is "one hundred forty-one million, six hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 13997 27994 55988 69985 111976 139970 153967 279940 307934 321931 559880 615868 643862 769835 1231736 1287724 1539670 1609655 2575448 3079340 3219310 3541241 6158680 6438620 7082482 12877240 14164964 17706205 28329928 35412410 70824820 141649640