Search a number
-
+
67700736 = 211323673
BaseRepresentation
bin1000000100100…
…00100000000000
311201101112221200
410002100200000
5114312410421
610415021200
71451306145
oct402204000
9151345850
1067700736
1135240624
121a80a800
131104510c
148dc43cc
155e24726
hex4090800

67700736 has 72 divisors (see below), whose sum is σ = 195585390. Its totient is φ = 22560768.

The previous prime is 67700729. The next prime is 67700747. The reversal of 67700736 is 63700776.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 1115136 = 8160^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 67700736.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16596 + ... + 20268.

Almost surely, 267700736 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 67700736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97792695).

67700736 is an abundant number, since it is smaller than the sum of its proper divisors (127884654).

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

67700736 is a wasteful number, since it uses less digits than its factorization.

67700736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 67700736 is about 8228.0456974910. The cubic root of 67700736 is about 407.5658588526.

The spelling of 67700736 in words is "sixty-seven million, seven hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3673 4608 6144 7346 9216 11019 14692 18432 22038 29384 33057 44076 58768 66114 88152 117536 132228 176304 235072 264456 352608 470144 528912 705216 940288 1057824 1410432 1880576 2115648 2820864 3761152 4231296 5641728 7522304 8462592 11283456 16925184 22566912 33850368 67700736