Search a number
-
+
190413504 = 2634231597
BaseRepresentation
bin10110101100101…
…11101011000000
3111021022000020000
423112113223000
5342221213004
630521120000
74501326261
oct1326275300
9437260200
10190413504
1198535536
1253929000
13305aba18
141b408968
1511ab3c39
hexb597ac0

190413504 has 140 divisors (see below), whose sum is σ = 589355184. Its totient is φ = 60673536.

The previous prime is 190413499. The next prime is 190413511. The reversal of 190413504 is 405314091.

190413504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118434 + ... + 120030.

Almost surely, 2190413504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294677592).

190413504 is an abundant number, since it is smaller than the sum of its proper divisors (398941680).

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

190413504 is a wasteful number, since it uses less digits than its factorization.

190413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 190413504 is about 13799.0399666064. The cubic root of 190413504 is about 575.3064569289.

Adding to 190413504 its reverse (405314091), we get a palindrome (595727595).

The spelling of 190413504 in words is "one hundred ninety million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1597 1656 1728 1863 2208 2484 2592 3194 3312 3726 4416 4791 4968 5184 6388 6624 7452 9582 9936 12776 13248 14373 14904 19164 19872 25552 28746 29808 36731 38328 39744 43119 51104 57492 59616 73462 76656 86238 102208 110193 114984 119232 129357 146924 153312 172476 220386 229968 258714 293848 306624 330579 344952 440772 459936 517428 587696 661158 689904 881544 919872 991737 1034856 1175392 1322316 1379808 1763088 1983474 2069712 2350784 2644632 2759616 2975211 3526176 3966948 4139424 5289264 5950422 7052352 7933896 8278848 10578528 11900844 15867792 21157056 23801688 31735584 47603376 63471168 95206752 190413504