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190356640 = 2551517879
BaseRepresentation
bin10110101100010…
…01110010100000
3111021012010012221
423112021302200
5342212403030
630520000424
74501001425
oct1326116240
9437163187
10190356640
11984a6841
1253900114
133058bb86
141b3d1d4c
1511aa1e7a
hexb589ca0

190356640 has 48 divisors (see below), whose sum is σ = 452753280. Its totient is φ = 75628800.

The previous prime is 190356637. The next prime is 190356641. The reversal of 190356640 is 46653091.

It is a junction number, because it is equal to n+sod(n) for n = 190356596 and 190356605.

It is not an unprimeable number, because it can be changed into a prime (190356641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20221 + ... + 28099.

It is an arithmetic number, because the mean of its divisors is an integer number (9432360).

Almost surely, 2190356640 is an apocalyptic number.

190356640 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 190356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226376640).

190356640 is an abundant number, since it is smaller than the sum of its proper divisors (262396640).

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

190356640 is a wasteful number, since it uses less digits than its factorization.

190356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 190356640 is about 13796.9793795599. The cubic root of 190356640 is about 575.2491824837.

The spelling of 190356640 in words is "one hundred ninety million, three hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2416 3020 4832 6040 7879 12080 15758 24160 31516 39395 63032 78790 126064 157580 252128 315160 630320 1189729 1260640 2379458 4758916 5948645 9517832 11897290 19035664 23794580 38071328 47589160 95178320 190356640