Search a number
-
+
141121680 = 24357167503
BaseRepresentation
bin10000110100101…
…01100010010000
3100211112201112220
420122111202100
5242111343210
622000421040
73332341320
oct1032254220
9324481486
10141121680
1172728897
123b317780
1323310a6b
1414a57280
15c5c8c70
hex8695890

141121680 has 160 divisors (see below), whose sum is σ = 503967744. Its totient is φ = 31999488.

The previous prime is 141121619. The next prime is 141121681. The reversal of 141121680 is 86121141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141121680.

It is not an unprimeable number, because it can be changed into a prime (141121681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280309 + ... + 280811.

Almost surely, 2141121680 is an apocalyptic number.

141121680 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 141121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

141121680 is an abundant number, since it is smaller than the sum of its proper divisors (362846064).

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

141121680 is a wasteful number, since it uses less digits than its factorization.

141121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 141121680 is about 11879.4646344017. The cubic root of 141121680 is about 520.6324651480.

The spelling of 141121680 in words is "one hundred forty-one million, one hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 167 168 210 240 280 334 336 420 501 503 560 668 835 840 1002 1006 1169 1336 1509 1670 1680 2004 2012 2338 2505 2515 2672 3018 3340 3507 3521 4008 4024 4676 5010 5030 5845 6036 6680 7014 7042 7545 8016 8048 9352 10020 10060 10563 11690 12072 13360 14028 14084 15090 17535 17605 18704 20040 20120 21126 23380 24144 28056 28168 30180 35070 35210 40080 40240 42252 46760 52815 56112 56336 60360 70140 70420 84001 84504 93520 105630 120720 140280 140840 168002 169008 211260 252003 280560 281680 336004 420005 422520 504006 588007 672008 840010 845040 1008012 1176014 1260015 1344016 1680020 1764021 2016024 2352028 2520030 2940035 3360040 3528042 4032048 4704056 5040060 5880070 6720080 7056084 8820105 9408112 10080120 11760140 14112168 17640210 20160240 23520280 28224336 35280420 47040560 70560840 141121680