Search a number
-
+
13697040 = 2435731263
BaseRepresentation
bin110100010000…
…000000010000
3221202212210210
4310100000100
512001301130
61205324120
7224265030
oct64200020
927685723
1013697040
117805875
124706640
132ab7576
141b678c0
1513085b0
hexd10010

13697040 has 160 divisors (see below), whose sum is σ = 50282496. Its totient is φ = 3018240.

The previous prime is 13697023. The next prime is 13697041. The reversal of 13697040 is 4079631.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13696989 and 13697007.

It is not an unprimeable number, because it can be changed into a prime (13697041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51949 + ... + 52211.

Almost surely, 213697040 is an apocalyptic number.

13697040 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 13697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141248).

13697040 is an abundant number, since it is smaller than the sum of its proper divisors (36585456).

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

13697040 is a wasteful number, since it uses less digits than its factorization.

13697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13697040 is about 3700.9512290761. The cubic root of 13697040 is about 239.2630169945.

The spelling of 13697040 in words is "thirteen million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 263 280 310 336 372 420 434 465 496 526 560 620 651 744 789 840 868 930 1052 1085 1240 1302 1315 1488 1578 1680 1736 1841 1860 2104 2170 2480 2604 2630 3156 3255 3472 3682 3720 3945 4208 4340 5208 5260 5523 6312 6510 7364 7440 7890 8153 8680 9205 10416 10520 11046 12624 13020 14728 15780 16306 17360 18410 21040 22092 24459 26040 27615 29456 31560 32612 36820 40765 44184 48918 52080 55230 57071 63120 65224 73640 81530 88368 97836 110460 114142 122295 130448 147280 163060 171213 195672 220920 228284 244590 285355 326120 342426 391344 441840 456568 489180 570710 652240 684852 856065 913136 978360 1141420 1369704 1712130 1956720 2282840 2739408 3424260 4565680 6848520 13697040