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190640640 = 2935103241
BaseRepresentation
bin10110101110011…
…11001000000000
3111021201112210110
423113033020000
5342301000030
630530031320
74503263421
oct1327171000
9437645713
10190640640
1198680153
1253a18540
133065b218
141b467648
1511b0b1b0
hexb5cf200

190640640 has 160 divisors (see below), whose sum is σ = 617924736. Its totient is φ = 50135040.

The previous prime is 190640633. The next prime is 190640657. The reversal of 190640640 is 46046091.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 190640598 and 190640607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790920 + ... + 791160.

Almost surely, 2190640640 is an apocalyptic number.

190640640 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 190640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308962368).

190640640 is an abundant number, since it is smaller than the sum of its proper divisors (427284096).

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

190640640 is a wasteful number, since it uses less digits than its factorization.

190640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 190640640 is about 13807.2676514943. The cubic root of 190640640 is about 575.5351187291.

The spelling of 190640640 in words is "one hundred ninety million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 241 256 309 320 384 412 480 482 512 515 618 640 723 768 824 960 964 1030 1205 1236 1280 1446 1536 1545 1648 1920 1928 2060 2410 2472 2560 2892 3090 3296 3615 3840 3856 4120 4820 4944 5784 6180 6592 7230 7680 7712 8240 9640 9888 11568 12360 13184 14460 15424 16480 19280 19776 23136 24720 24823 26368 28920 30848 32960 38560 39552 46272 49440 49646 52736 57840 61696 65920 74469 77120 79104 92544 98880 99292 115680 123392 124115 131840 148938 154240 158208 185088 197760 198584 231360 248230 263680 297876 308480 370176 372345 395520 397168 462720 496460 595752 616960 744690 791040 794336 925440 992920 1191504 1489380 1588672 1850880 1985840 2383008 2978760 3177344 3971680 4766016 5957520 6354688 7943360 9532032 11915040 12709376 15886720 19064064 23830080 31773440 38128128 47660160 63546880 95320320 190640640