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142769680 = 24537139347
BaseRepresentation
bin10001000001001…
…11111000010000
3100221122110011221
420200213320100
5243022112210
622100014424
73352344064
oct1040477020
9327573157
10142769680
1173653a79
123b991414
1323769c01
1414d65aa4
15c8021da
hex8827e10

142769680 has 80 divisors (see below), whose sum is σ = 344352960. Its totient is φ = 55005696.

The previous prime is 142769659. The next prime is 142769681. The reversal of 142769680 is 86967241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (142769681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411267 + ... + 411613.

It is an arithmetic number, because the mean of its divisors is an integer number (4304412).

Almost surely, 2142769680 is an apocalyptic number.

142769680 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 142769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172176480).

142769680 is an abundant number, since it is smaller than the sum of its proper divisors (201583280).

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

142769680 is a wasteful number, since it uses less digits than its factorization.

142769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 142769680 is about 11948.6266993324. The cubic root of 142769680 is about 522.6512523510.

The spelling of 142769680 in words is "one hundred forty-two million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 139 148 185 278 296 347 370 556 592 694 695 740 1112 1388 1390 1480 1735 2224 2776 2780 2960 3470 5143 5552 5560 6940 10286 11120 12839 13880 20572 25678 25715 27760 41144 48233 51356 51430 64195 82288 96466 102712 102860 128390 192932 205424 205720 241165 256780 385864 411440 482330 513560 771728 964660 1027120 1784621 1929320 3569242 3858640 7138484 8923105 14276968 17846210 28553936 35692420 71384840 142769680