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141487680 = 2635197757
BaseRepresentation
bin10000110111011…
…10111001000000
3100212020022121110
420123232321000
5242210101210
622012323320
73335424345
oct1033567100
9325208543
10141487680
1172958874
123b473540
132340b529
1414b107cc
15c64c420
hex86eee40

141487680 has 112 divisors (see below), whose sum is σ = 472927680. Its totient is φ = 35739648.

The previous prime is 141487669. The next prime is 141487681. The reversal of 141487680 is 86784141.

141487680 is digitally balanced in base 3, 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 (141487681) by changing a digit.

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, 14362 + ... + 22118.

Almost surely, 2141487680 is an apocalyptic number.

141487680 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 141487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236463840).

141487680 is an abundant number, since it is smaller than the sum of its proper divisors (331440000).

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

141487680 is a wasteful number, since it uses less digits than its factorization.

141487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 141487680 is about 11894.8593938726. The cubic root of 141487680 is about 521.0821645067.

The spelling of 141487680 in words is "one hundred forty-one million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 7757 9120 15514 18240 23271 31028 38785 46542 62056 77570 93084 116355 124112 147383 155140 186168 232710 248224 294766 310280 372336 442149 465420 496448 589532 620560 736915 744672 884298 930840 1179064 1241120 1473830 1489344 1768596 1861680 2210745 2358128 2482240 2947660 3537192 3723360 4421490 4716256 5895320 7074384 7446720 8842980 9432512 11790640 14148768 17685960 23581280 28297536 35371920 47162560 70743840 141487680