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190691712 = 2733232399
BaseRepresentation
bin10110101110110…
…11100110000000
3111021211010212000
423113123212000
5342304113322
630531104000
74503565341
oct1327334600
9437733760
10190691712
1198705562
1253a42000
1330678543
141b47c0c8
1511b1b3ac
hexb5db980

190691712 has 128 divisors (see below), whose sum is σ = 587520000. Its totient is φ = 60774912.

The previous prime is 190691671. The next prime is 190691719. The reversal of 190691712 is 217196091.

190691712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 (190691719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78289 + ... + 80687.

It is an arithmetic number, because the mean of its divisors is an integer number (4590000).

Almost surely, 2190691712 is an apocalyptic number.

190691712 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 190691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760000).

190691712 is an abundant number, since it is smaller than the sum of its proper divisors (396828288).

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

190691712 is a wasteful number, since it uses less digits than its factorization.

190691712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 190691712 is about 13809.1169884247. The cubic root of 190691712 is about 575.5865087950.

The spelling of 190691712 in words is "one hundred ninety million, six hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2399 2484 2944 3312 3456 4416 4798 4968 6624 7197 8832 9596 9936 13248 14394 19192 19872 21591 26496 28788 38384 39744 43182 55177 57576 64773 76768 79488 86364 110354 115152 129546 153536 165531 172728 220708 230304 259092 307072 331062 345456 441416 460608 496593 518184 662124 690912 882832 921216 993186 1036368 1324248 1381824 1489779 1765664 1986372 2072736 2648496 2763648 2979558 3531328 3972744 4145472 5296992 5959116 7062656 7945488 8290944 10593984 11918232 15890976 21187968 23836464 31781952 47672928 63563904 95345856 190691712