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190198638 = 233723131167
BaseRepresentation
bin10110101011000…
…11001101101110
3111020220002111000
423111203031232
5342142324023
630512341130
74466442660
oct1325431556
9436802430
10190198638
11983a9063
12538447a6
1330534c96
141b390530
1511a70243
hexb56336e

190198638 has 128 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 51274080.

The previous prime is 190198633. The next prime is 190198643. The reversal of 190198638 is 836891091.

190198638 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 9 + 8 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (190198633) and next prime (190198643).

It is a junction number, because it is equal to n+sod(n) for n = 190198593 and 190198602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190198633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138831 + ... + 1138997.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2190198638 is an apocalyptic number.

190198638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190198638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

190198638 is an abundant number, since it is smaller than the sum of its proper divisors (320736402).

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

190198638 is a wasteful number, since it uses less digits than its factorization.

190198638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 190198638 is about 13791.2522274085. The cubic root of 190198638 is about 575.0899801214.

The spelling of 190198638 in words is "one hundred ninety million, one hundred ninety-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 131 138 161 167 189 207 262 322 334 378 393 414 483 501 621 786 917 966 1002 1169 1179 1242 1449 1503 1834 2338 2358 2751 2898 3006 3013 3507 3537 3841 4347 4509 5502 6026 7014 7074 7682 8253 8694 9018 9039 10521 11523 16506 18078 21042 21091 21877 23046 24759 26887 27117 31563 34569 42182 43754 49518 53774 54234 63126 63273 65631 69138 80661 81351 103707 126546 131262 153139 161322 162702 189819 196893 207414 241983 306278 379638 393786 459417 483966 503171 569457 590679 725949 918834 1006342 1138914 1181358 1378251 1451898 1509513 2756502 3019026 3522197 4134753 4528539 7044394 8269506 9057078 10566591 13585617 21133182 27171234 31699773 63399546 95099319 190198638