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190570080 = 2535974093
BaseRepresentation
bin10110101101111…
…01111001100000
3111021120222000010
423112331321200
5342241220310
630524324520
74502550621
oct1326757140
9437528003
10190570080
1198632138
12539a3740
133063507c
141b449a48
1511ae5320
hexb5bde60

190570080 has 96 divisors (see below), whose sum is σ = 606632544. Its totient is φ = 50282496.

The previous prime is 190570069. The next prime is 190570087. The reversal of 190570080 is 80075091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190570087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44514 + ... + 48606.

It is an arithmetic number, because the mean of its divisors is an integer number (6319089).

Almost surely, 2190570080 is an apocalyptic number.

190570080 is a gapful number since it is divisible by the number (10) 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 190570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303316272).

190570080 is an abundant number, since it is smaller than the sum of its proper divisors (416062464).

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

190570080 is a wasteful number, since it uses less digits than its factorization.

190570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 190570080 is about 13804.7122389422. The cubic root of 190570080 is about 575.4641041942.

The spelling of 190570080 in words is "one hundred ninety million, five hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4093 4656 5820 7760 8186 9312 11640 12279 15520 16372 20465 23280 24558 32744 40930 46560 49116 61395 65488 81860 98232 122790 130976 163720 196464 245580 327440 392928 397021 491160 654880 794042 982320 1191063 1588084 1964640 1985105 2382126 3176168 3970210 4764252 5955315 6352336 7940420 9528504 11910630 12704672 15880840 19057008 23821260 31761680 38114016 47642520 63523360 95285040 190570080