Search a number
-
+
160978104 = 23347231543
BaseRepresentation
bin10011001100001…
…01010010111000
3102012220112110000
421212011102320
5312202244404
623550153000
73663201630
oct1146052270
9365815400
10160978104
1182960261
1245ab2760
1327473a21
14175456c0
15e1ec339
hex99854b8

160978104 has 160 divisors (see below), whose sum is σ = 538053120. Its totient is φ = 43965504.

The previous prime is 160978099. The next prime is 160978109. The reversal of 160978104 is 401879061.

It is an interprime number because it is at equal distance from previous prime (160978099) and next prime (160978109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160978109) 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, 103557 + ... + 105099.

It is an arithmetic number, because the mean of its divisors is an integer number (3362832).

Almost surely, 2160978104 is an apocalyptic number.

160978104 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 160978104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269026560).

160978104 is an abundant number, since it is smaller than the sum of its proper divisors (377075016).

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

160978104 is a wasteful number, since it uses less digits than its factorization.

160978104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 160978104 is about 12687.7146878388. The cubic root of 160978104 is about 543.9875195378.

The spelling of 160978104 in words is "one hundred sixty million, nine hundred seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1543 1656 1863 1932 2268 2484 2898 3086 3726 3864 4347 4536 4629 4968 5796 6172 7452 8694 9258 10801 11592 12344 13041 13887 14904 17388 18516 21602 26082 27774 32403 34776 35489 37032 41661 43204 52164 55548 64806 70978 83322 86408 97209 104328 106467 111096 124983 129612 141956 166644 194418 212934 248423 249966 259224 283912 291627 319401 333288 388836 425868 496846 499932 583254 638802 745269 777672 851736 874881 958203 993692 999864 1166508 1277604 1490538 1749762 1916406 1987384 2235807 2333016 2555208 2874609 2981076 3499524 3832812 4471614 5749218 5962152 6707421 6999048 7665624 8943228 11498436 13414842 17886456 20122263 22996872 26829684 40244526 53659368 80489052 160978104