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190861920 = 253554909
BaseRepresentation
bin10110110000001…
…01001001100000
3111022010210100000
423120011021200
5342330040140
630534500000
74505204514
oct1330051140
9438123300
10190861920
1198811427
1253b04600
1330707b62
141b4c4144
1511b51a30
hexb605260

190861920 has 144 divisors (see below), whose sum is σ = 675576720. Its totient is φ = 50886144.

The previous prime is 190861919. The next prime is 190861921. The reversal of 190861920 is 29168091.

190861920 is a `hidden beast` number, since 19 + 0 + 8 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (190861919) and next prime (190861921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190861921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36426 + ... + 41334.

It is an arithmetic number, because the mean of its divisors is an integer number (4691505).

Almost surely, 2190861920 is an apocalyptic number.

190861920 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 190861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337788360).

190861920 is an abundant number, since it is smaller than the sum of its proper divisors (484714800).

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

190861920 is an equidigital number, since it uses as much as digits as its factorization.

190861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 190861920 is about 13815.2784988215. The cubic root of 190861920 is about 575.7577105974.

The spelling of 190861920 in words is "one hundred ninety million, eight hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 4909 6480 7776 9720 9818 12960 14727 19440 19636 24545 29454 38880 39272 44181 49090 58908 73635 78544 88362 98180 117816 132543 147270 157088 176724 196360 220905 235632 265086 294540 353448 392720 397629 441810 471264 530172 589080 662715 706896 785440 795258 883620 1060344 1178160 1192887 1325430 1413792 1590516 1767240 1988145 2120688 2356320 2385774 2650860 3181032 3534480 3976290 4241376 4771548 5301720 5964435 6362064 7068960 7952580 9543096 10603440 11928870 12724128 15905160 19086192 21206880 23857740 31810320 38172384 47715480 63620640 95430960 190861920