Search a number
-
+
140916720 = 24357372267
BaseRepresentation
bin10000110011000…
…11011111110000
3100211011022101210
420121203133300
5242033313340
621552200120
73330525630
oct1031433760
9324138353
10140916720
11725a88aa
123b239040
132326b699
1414a026c0
15c588180
hex86637f0

140916720 has 160 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 31325184.

The previous prime is 140916709. The next prime is 140916733. The reversal of 140916720 is 27619041.

It is a happy number.

140916720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61027 + ... + 63293.

Almost surely, 2140916720 is an apocalyptic number.

140916720 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 140916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

140916720 is an abundant number, since it is smaller than the sum of its proper divisors (372050448).

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

140916720 is a wasteful number, since it uses less digits than its factorization.

140916720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 140916720 is about 11870.8348484848. The cubic root of 140916720 is about 520.3802938024.

The spelling of 140916720 in words is "one hundred forty million, nine hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2267 2590 2960 3108 3885 4144 4440 4534 5180 6216 6801 7770 8880 9068 10360 11335 12432 13602 15540 15869 18136 20720 22670 27204 31080 31738 34005 36272 45340 47607 54408 62160 63476 68010 79345 83879 90680 95214 108816 126952 136020 158690 167758 181360 190428 238035 251637 253904 272040 317380 335516 380856 419395 476070 503274 544080 587153 634760 671032 761712 838790 952140 1006548 1174306 1258185 1269520 1342064 1677580 1761459 1904280 2013096 2348612 2516370 2935765 3355160 3522918 3808560 4026192 4697224 5032740 5871530 6710320 7045836 8807295 9394448 10065480 11743060 14091672 17614590 20130960 23486120 28183344 35229180 46972240 70458360 140916720