Search a number
-
+
71601432 = 23371792381
BaseRepresentation
bin1000100010010…
…00110100011000
311222201201200220
410101020310120
5121312221212
611034400040
71526413350
oct421106430
9158651626
1071601432
1137465241
121bb90020
1311aac716
14971bb60
15644538c
hex4448d18

71601432 has 64 divisors (see below), whose sum is σ = 205804800. Its totient is φ = 20334720.

The previous prime is 71601427. The next prime is 71601437. The reversal of 71601432 is 23410617.

It is an interprime number because it is at equal distance from previous prime (71601427) and next prime (71601437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71601437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28882 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (3215700).

Almost surely, 271601432 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 71601432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102902400).

71601432 is an abundant number, since it is smaller than the sum of its proper divisors (134203368).

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

71601432 is a wasteful number, since it uses less digits than its factorization.

71601432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71601432 is about 8461.7629368826. The cubic root of 71601432 is about 415.2477003866.

The spelling of 71601432 in words is "seventy-one million, six hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2381 2506 3759 4296 4762 5012 7143 7518 9524 10024 14286 15036 16667 19048 28572 30072 33334 50001 57144 66668 100002 133336 200004 400008 426199 852398 1278597 1704796 2557194 2983393 3409592 5114388 5966786 8950179 10228776 11933572 17900358 23867144 35800716 71601432