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190390640 = 245111959193
BaseRepresentation
bin10110101100100…
…10000101110000
3111021020211212012
423112102011300
5342220000030
630520422052
74501202516
oct1326220560
9437224765
10190390640
119851a340
1253917928
13305a14ab
141b4004b6
1511aac095
hexb592170

190390640 has 160 divisors (see below), whose sum is σ = 519609600. Its totient is φ = 64143360.

The previous prime is 190390609. The next prime is 190390657. The reversal of 190390640 is 46093091.

It is a junction number, because it is equal to n+sod(n) for n = 190390597 and 190390606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986384 + ... + 986576.

It is an arithmetic number, because the mean of its divisors is an integer number (3247560).

Almost surely, 2190390640 is an apocalyptic number.

190390640 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 190390640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259804800).

190390640 is an abundant number, since it is smaller than the sum of its proper divisors (329218960).

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

190390640 is a wasteful number, since it uses less digits than its factorization.

190390640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 190390640 is about 13798.2114783040. The cubic root of 190390640 is about 575.2834292671.

The spelling of 190390640 in words is "one hundred ninety million, three hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 59 76 80 88 95 110 118 152 176 190 193 209 220 236 295 304 380 386 418 440 472 590 649 760 772 836 880 944 965 1045 1121 1180 1298 1520 1544 1672 1930 2090 2123 2242 2360 2596 3088 3245 3344 3667 3860 4180 4246 4484 4720 5192 5605 6490 7334 7720 8360 8492 8968 10384 10615 11210 11387 12331 12980 14668 15440 16720 16984 17936 18335 21230 22420 22774 24662 25960 29336 33968 36670 40337 42460 44840 45548 49324 51920 56935 58672 61655 73340 80674 84920 89680 91096 98648 113870 123310 125257 146680 161348 169840 182192 197296 201685 216353 227740 246620 250514 293360 322696 403370 432706 455480 493240 501028 626285 645392 806740 865412 910960 986480 1002056 1081765 1252570 1613480 1730824 2004112 2163530 2379883 2505140 3226960 3461648 4327060 4759766 5010280 8654120 9519532 10020560 11899415 17308240 19039064 23798830 38078128 47597660 95195320 190390640