Search a number
-
+
106535352 = 23371157649
BaseRepresentation
bin1100101100110…
…01100110111000
321102110120000210
412112121212320
5204233112402
614323231120
72432351460
oct626314670
9242416023
10106535352
1155155650
122b8184a0
13190c1391
1410212ba0
15954606c
hex65999b8

106535352 has 64 divisors (see below), whose sum is σ = 332064000. Its totient is φ = 27671040.

The previous prime is 106535339. The next prime is 106535369. The reversal of 106535352 is 253535601.

It is a super-2 number, since 2×1065353522 = 22699562451527808, 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 15 ways as a sum of consecutive naturals, for example, 26977 + ... + 30672.

It is an arithmetic number, because the mean of its divisors is an integer number (5188500).

Almost surely, 2106535352 is an apocalyptic number.

106535352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106535352 is an abundant number, since it is smaller than the sum of its proper divisors (225528648).

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

106535352 is a wasteful number, since it uses less digits than its factorization.

106535352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57676 (or 57672 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 106535352 is about 10321.5963881562. The cubic root of 106535352 is about 474.0577472417.

The spelling of 106535352 in words is "one hundred six million, five hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 57649 115298 172947 230596 345894 403543 461192 634139 691788 807086 1210629 1268278 1383576 1614172 1902417 2421258 2536556 3228344 3804834 4438973 4842516 5073112 7609668 8877946 9685032 13316919 15219336 17755892 26633838 35511784 53267676 106535352