Search a number
-
+
71970816 = 21235857
BaseRepresentation
bin1000100101000…
…11000000000000
312000102111101210
410102203000000
5121411031231
611050330120
71532512311
oct422430000
9160374353
1071970816
1137697815
1220129940
1311bab8a8
1497b6608
1564b9a46
hex44a3000

71970816 has 52 divisors (see below), whose sum is σ = 191931512. Its totient is φ = 23986176.

The previous prime is 71970791. The next prime is 71970823. The reversal of 71970816 is 61807917.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9360 + ... + 15216.

Almost surely, 271970816 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 71970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95965756).

71970816 is an abundant number, since it is smaller than the sum of its proper divisors (119960696).

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

71970816 is an equidigital number, since it uses as much as digits as its factorization.

71970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 71970816 is about 8483.5615162501. The cubic root of 71970816 is about 415.9605485270.

The spelling of 71970816 in words is "seventy-one million, nine hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 5857 6144 11714 12288 17571 23428 35142 46856 70284 93712 140568 187424 281136 374848 562272 749696 1124544 1499392 2249088 2998784 4498176 5997568 8996352 11995136 17992704 23990272 35985408 71970816