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67940532 = 22341121733
BaseRepresentation
bin1000000110010…
…11000010110100
311201211201220000
410003023002310
5114343044112
610424111300
71453325232
oct403130264
9151751800
1067940532
1135394800
121a905530
13110ca2ca
149047952
155e707dc
hex40cb0b4

67940532 has 90 divisors (see below), whose sum is σ = 195336834. Its totient is φ = 20576160.

The previous prime is 67940507. The next prime is 67940569. The reversal of 67940532 is 23504976.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 11329956 = 7524^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38338 + ... + 40070.

Almost surely, 267940532 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 67940532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97668417).

67940532 is an abundant number, since it is smaller than the sum of its proper divisors (127396302).

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

67940532 is a wasteful number, since it uses less digits than its factorization.

67940532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 67940532 is about 8242.6046854135. The cubic root of 67940532 is about 408.0464912420.

Subtracting from 67940532 its reverse (23504976), we obtain a square (44435556 = 66662).

The spelling of 67940532 in words is "sixty-seven million, nine hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1733 1782 2178 3267 3466 3564 4356 5199 6534 6932 9801 10398 13068 15597 19063 19602 20796 31194 38126 39204 46791 57189 62388 76252 93582 114378 140373 171567 187164 209693 228756 280746 343134 419386 514701 561492 629079 686268 838772 1029402 1258158 1544103 1887237 2058804 2516316 3088206 3774474 5661711 6176412 7548948 11323422 16985133 22646844 33970266 67940532