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106973464 = 23131079613
BaseRepresentation
bin1100110000001…
…00100100011000
321110021211000011
412120010210120
5204341122324
614340451304
72436154663
oct630044430
9243254004
10106973464
1155424824
122b9a9b34
1319215910
14102c86da
1595d0c94
hex6604918

106973464 has 32 divisors (see below), whose sum is σ = 218045520. Its totient is φ = 48905856.

The previous prime is 106973459. The next prime is 106973479. The reversal of 106973464 is 464379601.

It is a super-2 number, since 2×1069734642 = 22886644000318592, 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 7 ways as a sum of consecutive naturals, for example, 6322 + ... + 15934.

Almost surely, 2106973464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106973464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109022760).

106973464 is an abundant number, since it is smaller than the sum of its proper divisors (111072056).

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

106973464 is a wasteful number, since it uses less digits than its factorization.

106973464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 106973464 is about 10342.7976872798. The cubic root of 106973464 is about 474.7066909432.

It can be divided in two parts, 10697 and 3464, that added together give a square (14161 = 1192).

The spelling of 106973464 in words is "one hundred six million, nine hundred seventy-three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 9613 11128 19226 38452 76904 124969 249938 499876 999752 1028591 2057182 4114364 8228728 13371683 26743366 53486732 106973464