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141072680 = 23574311717
BaseRepresentation
bin10000110100010…
…01100100101000
3100211110020100002
420122021210220
5242103311210
621555402132
73332045420
oct1032114450
9324406302
10141072680
11726a4aa1
123b2b3348
13232c4678
1414a43480
15c5b94a5
hex8689928

141072680 has 64 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 47238912.

The previous prime is 141072653. The next prime is 141072707. The reversal of 141072680 is 86270141.

It is an interprime number because it is at equal distance from previous prime (141072653) and next prime (141072707).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6182 + ... + 17898.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2141072680 is an apocalyptic number.

141072680 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 141072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

141072680 is an abundant number, since it is smaller than the sum of its proper divisors (230153560).

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

141072680 is a wasteful number, since it uses less digits than its factorization.

141072680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 141072680 is about 11877.4020728440. The cubic root of 141072680 is about 520.5722005026.

The spelling of 141072680 in words is "one hundred forty-one million, seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 11717 12040 23434 46868 58585 82019 93736 117170 164038 234340 328076 410095 468680 503831 656152 820190 1007662 1640380 2015324 2519155 3280760 3526817 4030648 5038310 7053634 10076620 14107268 17634085 20153240 28214536 35268170 70536340 141072680