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675106146 = 2321113353743
BaseRepresentation
bin101000001111010…
…100110101100010
31202001022221112100
4220033110311202
52340311344041
6150553511230
722505210331
oct5017246542
91661287470
10675106146
11317097270
1216a112516
13a9b345c0
1465937d18
153e4066b6
hex283d4d62

675106146 has 96 divisors (see below), whose sum is σ = 1725639552. Its totient is φ = 188052480.

The previous prime is 675106141. The next prime is 675106163. The reversal of 675106146 is 641601576.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 675106146.

It is not an unprimeable number, because it can be changed into a prime (675106141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908251 + ... + 908993.

It is an arithmetic number, because the mean of its divisors is an integer number (17975412).

Almost surely, 2675106146 is an apocalyptic number.

675106146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 675106146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862819776).

675106146 is an abundant number, since it is smaller than the sum of its proper divisors (1050533406).

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

675106146 is a wasteful number, since it uses less digits than its factorization.

675106146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 675106146 is about 25982.8048139534. The cubic root of 675106146 is about 877.2513002074.

The spelling of 675106146 in words is "six hundred seventy-five million, one hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 353 429 706 743 858 1059 1287 1486 2118 2229 2574 3177 3883 4458 4589 6354 6687 7766 8173 9178 9659 11649 13374 13767 16346 19318 23298 24519 27534 28977 34947 41301 49038 50479 57954 69894 73557 82602 86931 100958 106249 147114 151437 173862 212498 262279 302874 318747 454311 524558 637494 786837 908622 956241 1573674 1912482 2360511 2885069 3409627 4721022 5770138 6819254 8655207 10228881 17310414 20457762 25965621 30686643 37505897 51931242 61373286 75011794 112517691 225035382 337553073 675106146