[go: up one dir, main page]

Search a number
-
+
190832280 = 233531431193
BaseRepresentation
bin10110101111111…
…01111010011000
3111022002021200020
423113331322120
5342323113110
630534110440
74505022222
oct1327757230
9438067606
10190832280
11987a1131
1253aab420
13306c7512
141b4b7412
1511b47d70
hexb5fde98

190832280 has 128 divisors (see below), whose sum is σ = 605214720. Its totient is φ = 48061440.

The previous prime is 190832263. The next prime is 190832297. The reversal of 190832280 is 82238091.

It is an interprime number because it is at equal distance from previous prime (190832263) and next prime (190832297).

It is a super-3 number, since 3×1908322803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159364 + ... + 160556.

It is an arithmetic number, because the mean of its divisors is an integer number (4728240).

Almost surely, 2190832280 is an apocalyptic number.

190832280 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 190832280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302607360).

190832280 is an abundant number, since it is smaller than the sum of its proper divisors (414382440).

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

190832280 is a wasteful number, since it uses less digits than its factorization.

190832280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 190832280 is about 13814.2057317820. The cubic root of 190832280 is about 575.7279048578.

The spelling of 190832280 in words is "one hundred ninety million, eight hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 1032 1193 1240 1290 1333 1720 1860 2386 2580 2666 3579 3720 3999 4772 5160 5332 5965 6665 7158 7998 9544 10664 11930 13330 14316 15996 17895 19995 23860 26660 28632 31992 35790 36983 39990 47720 51299 53320 71580 73966 79980 102598 110949 143160 147932 153897 159960 184915 205196 221898 256495 295864 307794 369830 410392 443796 512990 554745 615588 739660 769485 887592 1025980 1109490 1231176 1479320 1538970 1590269 2051960 2218980 3077940 3180538 4437960 4770807 6155880 6361076 7951345 9541614 12722152 15902690 19083228 23854035 31805380 38166456 47708070 63610760 95416140 190832280