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190986240 = 211356217
BaseRepresentation
bin10110110001000…
…11100000000000
3111022101002212110
423120203200000
5342343024430
630541255320
74506233124
oct1330434000
9438332773
10190986240
1198896875
1253b64540
133074c613
141b517584
1511b787b0
hexb623800

190986240 has 96 divisors (see below), whose sum is σ = 611105040. Its totient is φ = 50921472.

The previous prime is 190986221. The next prime is 190986251. The reversal of 190986240 is 42689091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27612 + ... + 33828.

Almost surely, 2190986240 is an apocalyptic number.

190986240 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 190986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305552520).

190986240 is an abundant number, since it is smaller than the sum of its proper divisors (420118800).

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

190986240 is an equidigital number, since it uses as much as digits as its factorization.

190986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 190986240 is about 13819.7771327905. Note that the first 3 decimals coincide. The cubic root of 190986240 is about 575.8826921602.

The spelling of 190986240 in words is "one hundred ninety million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 6217 7680 10240 12434 15360 18651 24868 30720 31085 37302 49736 62170 74604 93255 99472 124340 149208 186510 198944 248680 298416 373020 397888 497360 596832 746040 795776 994720 1193664 1492080 1591552 1989440 2387328 2984160 3183104 3978880 4774656 5968320 6366208 7957760 9549312 11936640 12732416 15915520 19098624 23873280 31831040 38197248 47746560 63662080 95493120 190986240