Search a number
-
+
3970294160 = 245721133601
BaseRepresentation
bin1110110010100101…
…1110000110010000
3101020200210211200212
43230221132012100
531112343403120
61453545103252
7200246641430
oct35451360620
911220724625
103970294160
111758144848
12929787b28
134b37205b1
142994202c0
151838586c5
hexeca5e190

3970294160 has 80 divisors (see below), whose sum is σ = 10599952512. Its totient is φ = 1354752000.

The previous prime is 3970294157. The next prime is 3970294219. The reversal of 3970294160 is 614920793.

It is a tau number, because it is divible by the number of its divisors (80).

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, 101360 + ... + 134960.

Almost surely, 23970294160 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 3970294160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299976256).

3970294160 is an abundant number, since it is smaller than the sum of its proper divisors (6629658352).

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

3970294160 is a wasteful number, since it uses less digits than its factorization.

3970294160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33832 (or 33826 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 3970294160 is about 63010.2702739799. The cubic root of 3970294160 is about 1583.4616938472.

The spelling of 3970294160 in words is "three billion, nine hundred seventy million, two hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 211 280 422 560 844 1055 1477 1688 2110 2954 3376 4220 5908 7385 8440 11816 14770 16880 23632 29540 33601 59080 67202 118160 134404 168005 235207 268808 336010 470414 537616 672020 940828 1176035 1344040 1881656 2352070 2688080 3763312 4704140 7089811 9408280 14179622 18816560 28359244 35449055 49628677 56718488 70898110 99257354 113436976 141796220 198514708 248143385 283592440 397029416 496286770 567184880 794058832 992573540 1985147080 3970294160