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10672428 = 2231337432
BaseRepresentation
bin101000101101…
…100100101100
3202002012211010
4220231210230
510213004203
61020425220
7156466644
oct50554454
922065733
1010672428
11602a398
1236a8210
132298960
1415bb524
15e0c303
hexa2d92c

10672428 has 72 divisors (see below), whose sum is σ = 28198128. Its totient is φ = 3120768.

The previous prime is 10672427. The next prime is 10672429. The reversal of 10672428 is 82427601.

It is an interprime number because it is at equal distance from previous prime (10672427) and next prime (10672429).

It is a super-2 number, since 2×106724282 = 227801438830368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10672395 and 10672404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248175 + ... + 248217.

Almost surely, 210672428 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 10672428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099064).

10672428 is an abundant number, since it is smaller than the sum of its proper divisors (17525700).

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

10672428 is a wasteful number, since it uses less digits than its factorization.

10672428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10672428 is about 3266.8682250743. The cubic root of 10672428 is about 220.1681084253.

The spelling of 10672428 in words is "ten million, six hundred seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 43 52 74 78 86 111 129 148 156 172 222 258 444 481 516 559 962 1118 1443 1591 1677 1849 1924 2236 2886 3182 3354 3698 4773 5547 5772 6364 6708 7396 9546 11094 19092 20683 22188 24037 41366 48074 62049 68413 72111 82732 96148 124098 136826 144222 205239 248196 273652 288444 410478 820956 889369 1778738 2668107 3557476 5336214 10672428