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14970438 = 23271729241
BaseRepresentation
bin111001000110…
…111001000110
31001011120120200
4321012321012
512313023223
61252511330
7241150410
oct71067106
931146520
1014970438
1184a556a
12501b546
133142062
141db99b0
1514aaa43
hexe46e46

14970438 has 96 divisors (see below), whose sum is σ = 40772160. Its totient is φ = 3870720.

The previous prime is 14970419. The next prime is 14970457. The reversal of 14970438 is 83407941.

It is a happy number.

14970438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14970438 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (14970419) and next prime (14970457).

It is a super-2 number, since 2×149704382 = 448228027823688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61998 + ... + 62238.

It is an arithmetic number, because the mean of its divisors is an integer number (424710).

Almost surely, 214970438 is an apocalyptic number.

14970438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14970438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386080).

14970438 is an abundant number, since it is smaller than the sum of its proper divisors (25801722).

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

14970438 is a wasteful number, since it uses less digits than its factorization.

14970438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14970438 is about 3869.1650262040. The cubic root of 14970438 is about 246.4590871923.

The spelling of 14970438 in words is "fourteen million, nine hundred seventy thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 241 261 306 357 406 482 493 522 609 714 723 986 1071 1218 1446 1479 1687 1827 2142 2169 2958 3374 3451 3654 4097 4338 4437 5061 6902 6989 8194 8874 10122 10353 12291 13978 15183 20706 20967 24582 28679 30366 31059 36873 41934 48923 57358 62118 62901 73746 86037 97846 118813 125802 146769 172074 237626 258111 293538 356439 440307 516222 712878 831691 880614 1069317 1663382 2138634 2495073 4990146 7485219 14970438