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190073772 = 223272931839
BaseRepresentation
bin10110101010001…
…00101110101100
3111020122202012100
423111010232230
5342124330042
630505535100
74465412640
oct1325045654
9436582170
10190073772
1198323269
12537a4490
13304c01b5
141b35ac20
1511a4824c
hexb544bac

190073772 has 144 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 50682240.

The previous prime is 190073759. The next prime is 190073813. The reversal of 190073772 is 277370091.

190073772 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900737722 = 72256077604615968, which contains 22 as substring.

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

190073772 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226129 + ... + 226967.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2190073772 is an apocalyptic number.

190073772 is a gapful number since it is divisible by the number (12) 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 190073772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

190073772 is an abundant number, since it is smaller than the sum of its proper divisors (396985428).

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

190073772 is a wasteful number, since it uses less digits than its factorization.

190073772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 190073772 is about 13786.7244840825. The cubic root of 190073772 is about 574.9641031150.

The spelling of 190073772 in words is "one hundred ninety million, seventy-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 31 36 42 58 62 63 84 87 93 116 124 126 174 186 203 217 252 261 279 348 372 406 434 522 558 609 651 812 839 868 899 1044 1116 1218 1302 1678 1798 1827 1953 2436 2517 2604 2697 3356 3596 3654 3906 5034 5394 5873 6293 7308 7551 7812 8091 10068 10788 11746 12586 15102 16182 17619 18879 23492 24331 25172 26009 30204 32364 35238 37758 48662 52018 52857 56637 70476 72993 75516 78027 97324 104036 105714 113274 145986 156054 170317 182063 211428 218979 226548 234081 291972 312108 340634 364126 437958 468162 510951 546189 681268 728252 754261 875916 936324 1021902 1092378 1508522 1532853 1638567 2043804 2184756 2262783 3017044 3065706 3277134 4525566 5279827 6131412 6554268 6788349 9051132 10559654 13576698 15839481 21119308 27153396 31678962 47518443 63357924 95036886 190073772