Search a number
-
+
142006760 = 23571926693
BaseRepresentation
bin10000111011011…
…01100111101000
3100220012200122122
420131231213220
5242323204020
622031410412
73343015610
oct1035554750
9326180578
10142006760
1173182865
123b683a08
132356088c
1414c07a40
15c701125
hex876d9e8

142006760 has 64 divisors (see below), whose sum is σ = 384393600. Its totient is φ = 46123776.

The previous prime is 142006759. The next prime is 142006771. The reversal of 142006760 is 67600241.

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, 8027 + ... + 18666.

It is an arithmetic number, because the mean of its divisors is an integer number (6006150).

Almost surely, 2142006760 is an apocalyptic number.

142006760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142006760 is an abundant number, since it is smaller than the sum of its proper divisors (242386840).

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

142006760 is a wasteful number, since it uses less digits than its factorization.

142006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26730 (or 26726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 142006760 is about 11916.6589277364. The cubic root of 142006760 is about 521.7186232801.

The spelling of 142006760 in words is "one hundred forty-two million, six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 26693 53386 106772 133465 186851 213544 266930 373702 507167 533860 747404 934255 1014334 1067720 1494808 1868510 2028668 2535835 3550169 3737020 4057336 5071670 7100338 7474040 10143340 14200676 17750845 20286680 28401352 35501690 71003380 142006760