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190293040 = 2457419811
BaseRepresentation
bin10110101011110…
…10010000110000
3111021001212222101
423111322100300
5342203334130
630514350144
74500315130
oct1325722060
9437055871
10190293040
1198462a83
125388b354
1330568c42
141b3b6ac0
1511a8d1ca
hexb57a430

190293040 has 80 divisors (see below), whose sum is σ = 507467520. Its totient is φ = 65007360.

The previous prime is 190293031. The next prime is 190293049. The reversal of 190293040 is 40392091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (190293031) and next prime (190293049).

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

It is a super-2 number, since 2×1902930402 = 72422882144883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (190293049) by changing a digit.

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, 234235 + ... + 235045.

It is an arithmetic number, because the mean of its divisors is an integer number (6343344).

Almost surely, 2190293040 is an apocalyptic number.

190293040 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 190293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253733760).

190293040 is an abundant number, since it is smaller than the sum of its proper divisors (317174480).

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

190293040 is a wasteful number, since it uses less digits than its factorization.

190293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 190293040 is about 13794.6743346844. The cubic root of 190293040 is about 575.1851099033.

The spelling of 190293040 in words is "one hundred ninety million, two hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 811 838 1622 1676 2095 2933 3244 3352 4055 4190 5677 5866 6488 6704 8110 8380 11354 11732 12976 14665 16220 16760 22708 23464 28385 29330 32440 33520 45416 46928 56770 58660 64880 90832 113540 117320 227080 234640 339809 454160 679618 1359236 1699045 2378663 2718472 3398090 4757326 5436944 6796180 9514652 11893315 13592360 19029304 23786630 27184720 38058608 47573260 95146520 190293040