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190880970 = 23572891459
BaseRepresentation
bin10110110000010…
…01110011001010
3111022011202110120
423120021303022
5342331142340
630535124110
74505314200
oct1330116312
9438152416
10190880970
1198824775
1253b13636
1330713727
141b4cb070
1511b574d0
hexb609cca

190880970 has 96 divisors (see below), whose sum is σ = 539265600. Its totient is φ = 43110144.

The previous prime is 190880969. The next prime is 190881001. The reversal of 190880970 is 79088091.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130101 + ... + 131559.

It is an arithmetic number, because the mean of its divisors is an integer number (5617350).

Almost surely, 2190880970 is an apocalyptic number.

190880970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190880970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269632800).

190880970 is an abundant number, since it is smaller than the sum of its proper divisors (348384630).

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

190880970 is a wasteful number, since it uses less digits than its factorization.

190880970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 190880970 is about 13815.9679356895. The cubic root of 190880970 is about 575.7768654913.

The spelling of 190880970 in words is "one hundred ninety million, eight hundred eighty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 89 98 105 147 178 210 245 267 294 445 490 534 623 735 890 1246 1335 1459 1470 1869 2670 2918 3115 3738 4361 4377 6230 7295 8722 8754 9345 10213 13083 14590 18690 20426 21805 21885 26166 30639 43610 43770 51065 61278 65415 71491 102130 129851 130830 142982 153195 214473 259702 306390 357455 389553 428946 649255 714910 779106 908957 1072365 1298510 1817914 1947765 2144730 2726871 3895530 4544785 5453742 6362699 9089570 12725398 13634355 19088097 27268710 31813495 38176194 63626990 95440485 190880970