Search a number
-
+
1970161704 = 23347835233
BaseRepresentation
bin111010101101110…
…0100100000101000
312002022012120210000
41311123210200220
513013330133304
6523255223000
766552045450
oct16533444050
95068176700
101970161704
11921117715
1246b977a60
1325522ab74
1414992cd60
15b7e6b939
hex756e4828

1970161704 has 160 divisors (see below), whose sum is σ = 6383805120. Its totient is φ = 556015104.

The previous prime is 1970161703. The next prime is 1970161709. The reversal of 1970161704 is 4071610791.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1970161703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 373872 + ... + 379104.

It is an arithmetic number, because the mean of its divisors is an integer number (39898782).

Almost surely, 21970161704 is an apocalyptic number.

1970161704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970161704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191902560).

1970161704 is an abundant number, since it is smaller than the sum of its proper divisors (4413643416).

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

1970161704 is a wasteful number, since it uses less digits than its factorization.

1970161704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1970161704 is about 44386.5036244127. The cubic root of 1970161704 is about 1253.6239801143.

The spelling of 1970161704 in words is "one billion, nine hundred seventy million, one hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 249 252 324 332 378 498 504 567 581 648 664 747 756 996 1134 1162 1494 1512 1743 1992 2241 2268 2324 2988 3486 4482 4536 4648 5229 5233 5976 6723 6972 8964 10458 10466 13446 13944 15687 15699 17928 20916 20932 26892 31374 31398 36631 41832 41864 47061 47097 53784 62748 62796 73262 94122 94194 109893 125496 125592 141291 146524 188244 188388 219786 282582 293048 329679 376488 376776 423873 434339 439572 565164 659358 847746 868678 879144 989037 1130328 1303017 1318716 1695492 1737356 1978074 2606034 2637432 2967111 3040373 3390984 3474712 3909051 3956148 5212068 5934222 6080746 7818102 7912296 9121119 10424136 11727153 11868444 12161492 15636204 18242238 23454306 23736888 24322984 27363357 31272408 35181459 36484476 46908612 54726714 70362918 72968952 82090071 93817224 109453428 140725836 164180142 218906856 246270213 281451672 328360284 492540426 656720568 985080852 1970161704