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190070320 = 24511435023
BaseRepresentation
bin10110101010000…
…11111000110000
3111020122120110111
423111003320300
5342124222240
630505511104
74465366606
oct1325037060
9436576414
10190070320
1198320710
12537a2494
13304bb75b
141b359876
1511a471ea
hexb543e30

190070320 has 80 divisors (see below), whose sum is σ = 493396992. Its totient is φ = 67495680.

The previous prime is 190070317. The next prime is 190070333. The reversal of 190070320 is 23070091.

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

It is a super-2 number, since 2×1900703202 = 72253453089804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 190070291 and 190070300.

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 15 ways as a sum of consecutive naturals, for example, 35329 + ... + 40351.

Almost surely, 2190070320 is an apocalyptic number.

190070320 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 190070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246698496).

190070320 is an abundant number, since it is smaller than the sum of its proper divisors (303326672).

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

190070320 is a wasteful number, since it uses less digits than its factorization.

190070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 190070320 is about 13786.5992906155. The cubic root of 190070320 is about 574.9606223821.

The spelling of 190070320 in words is "one hundred ninety million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 5023 7568 9460 10046 18920 20092 25115 37840 40184 50230 55253 80368 100460 110506 200920 215989 221012 276265 401840 431978 442024 552530 863956 884048 1079945 1105060 1727912 2159890 2210120 2375879 3455824 4319780 4420240 4751758 8639560 9503516 11879395 17279120 19007032 23758790 38014064 47517580 95035160 190070320