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190200420 = 223351720719
BaseRepresentation
bin10110101011000…
…11101001100100
3111020220011221000
423111203221210
5342142403140
630512353300
74466451114
oct1325435144
9436804830
10190200420
11983aa433
1253845830
1330535a37
141b391044
1511a70a30
hexb563a64

190200420 has 96 divisors (see below), whose sum is σ = 626572800. Its totient is φ = 47734272.

The previous prime is 190200389. The next prime is 190200421. The reversal of 190200420 is 24002091.

190200420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 190200393 and 190200402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190200421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2190200420 is an apocalyptic number.

190200420 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 190200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313286400).

190200420 is an abundant number, since it is smaller than the sum of its proper divisors (436372380).

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

190200420 is a wasteful number, since it uses less digits than its factorization.

190200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754 (or 20746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 190200420 is about 13791.3168334282. The cubic root of 190200420 is about 575.0917761510.

The spelling of 190200420 in words is "one hundred ninety million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 20719 41438 62157 82876 103595 124314 186471 207190 248628 310785 352223 372942 414380 559413 621570 704446 745884 932355 1056669 1118826 1243140 1408892 1761115 1864710 2113338 2237652 2797065 3170007 3522230 3729420 4226676 5283345 5594130 6340014 7044460 9510021 10566690 11188260 12680028 15850035 19020042 21133380 31700070 38040084 47550105 63400140 95100210 190200420