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13976970 = 23571931113
BaseRepresentation
bin110101010100…
…010110001010
3222022002210120
4311110112022
512034230340
61215324110
7226542120
oct65242612
928262716
1013976970
117987117
124820636
132b84ac7
141bdb910
1513614d0
hexd5458a

13976970 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 2903040.

The previous prime is 13976969. The next prime is 13976987. The reversal of 13976970 is 7967931.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 123634 + ... + 123746.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 213976970 is an apocalyptic number.

13976970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13976970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

13976970 is an abundant number, since it is smaller than the sum of its proper divisors (28047990).

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

13976970 is a wasteful number, since it uses less digits than its factorization.

13976970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 13976970 is about 3738.5786069040. The cubic root of 13976970 is about 240.8819977515.

The spelling of 13976970 in words is "thirteen million, nine hundred seventy-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 113 114 133 155 186 190 210 217 226 266 285 310 339 399 434 465 565 570 589 651 665 678 791 798 930 1085 1130 1178 1302 1330 1582 1695 1767 1995 2147 2170 2373 2945 3255 3390 3503 3534 3955 3990 4123 4294 4746 5890 6441 6510 7006 7910 8246 8835 10509 10735 11865 12369 12882 15029 17515 17670 20615 21018 21470 23730 24521 24738 30058 32205 35030 41230 45087 49042 52545 61845 64410 66557 73563 75145 90174 105090 122605 123690 133114 147126 150290 199671 225435 245210 332785 367815 399342 450870 465899 665570 735630 931798 998355 1397697 1996710 2329495 2795394 4658990 6988485 13976970