Search a number
-
+
15942420 = 2234513757
BaseRepresentation
bin111100110100…
…001100010100
31002222221220000
4330310030110
513040124140
61325411300
7252336234
oct74641424
932887800
1015942420
118aa985a
125409b30
1333c25b0
14218dcc4
1515eda30
hexf34314

15942420 has 120 divisors (see below), whose sum is σ = 53930184. Its totient is φ = 3919104.

The previous prime is 15942419. The next prime is 15942439. The reversal of 15942420 is 2424951.

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 15397776 = 738^2 + 3924^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20682 + ... + 21438.

Almost surely, 215942420 is an apocalyptic number.

15942420 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 15942420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26965092).

15942420 is an abundant number, since it is smaller than the sum of its proper divisors (37987764).

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

15942420 is a wasteful number, since it uses less digits than its factorization.

15942420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

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

The square root of 15942420 is about 3992.7960128211. The cubic root of 15942420 is about 251.6815705884.

The spelling of 15942420 in words is "fifteen million, nine hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 757 780 810 1053 1170 1404 1514 1620 1755 2106 2271 2340 3028 3510 3785 4212 4542 5265 6813 7020 7570 9084 9841 10530 11355 13626 15140 19682 20439 21060 22710 27252 29523 34065 39364 40878 45420 49205 59046 61317 68130 81756 88569 98410 102195 118092 122634 136260 147615 177138 196820 204390 245268 265707 295230 306585 354276 408780 442845 531414 590460 613170 797121 885690 1062828 1226340 1328535 1594242 1771380 2657070 3188484 3985605 5314140 7971210 15942420