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190354640 = 2457379187
BaseRepresentation
bin10110101100010…
…01010011010000
3111021012000110212
423112021103100
5342212322030
630515543252
74500662540
oct1326112320
9437160425
10190354640
11984a5293
12538bab28
133058aca8
141b3d1320
1511aa1595
hexb5894d0

190354640 has 80 divisors (see below), whose sum is σ = 519526272. Its totient is φ = 63493632.

The previous prime is 190354639. The next prime is 190354649. The reversal of 190354640 is 46453091.

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

It is a super-3 number, since 3×1903546403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 190354597 and 190354606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190354649) 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, 16127 + ... + 25313.

Almost surely, 2190354640 is an apocalyptic number.

190354640 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 190354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259763136).

190354640 is an abundant number, since it is smaller than the sum of its proper divisors (329171632).

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

190354640 is a wasteful number, since it uses less digits than its factorization.

190354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 190354640 is about 13796.9068997366. The cubic root of 190354640 is about 575.2471678400.

The spelling of 190354640 in words is "one hundred ninety million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 9187 10360 18374 20720 36748 45935 64309 73496 91870 128618 146992 183740 257236 321545 339919 367480 514472 643090 679838 734960 1028944 1286180 1359676 1699595 2379433 2572360 2719352 3399190 4758866 5144720 5438704 6798380 9517732 11897165 13596760 19035464 23794330 27193520 38070928 47588660 95177320 190354640