Search a number
-
+
15942240 = 2532511071
BaseRepresentation
bin111100110100…
…001001100000
31002222221122100
4330310021200
513040122430
61325410400
7252335556
oct74641140
932887570
1015942240
118aa9706
125409a00
1333c24a2
14218dbd6
1515ed960
hexf34260

15942240 has 72 divisors (see below), whose sum is σ = 54407808. Its totient is φ = 4250880.

The previous prime is 15942229. The next prime is 15942253. The reversal of 15942240 is 4224951.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4096 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (755664).

Almost surely, 215942240 is an apocalyptic number.

15942240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15942240 is an abundant number, since it is smaller than the sum of its proper divisors (38465568).

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

15942240 is a wasteful number, since it uses less digits than its factorization.

15942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 15942240 is about 3992.7734721619. The cubic root of 15942240 is about 251.6806233702.

The spelling of 15942240 in words is "fifteen million, nine hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11071 22142 33213 44284 55355 66426 88568 99639 110710 132852 166065 177136 199278 221420 265704 332130 354272 398556 442840 498195 531408 664260 797112 885680 996390 1062816 1328520 1594224 1771360 1992780 2657040 3188448 3985560 5314080 7971120 15942240