Search a number
-
+
190465440 = 25351136073
BaseRepresentation
bin10110101101001…
…00010110100000
3111021101122110120
423112210112200
5342224343230
630522200240
74501633554
oct1326442640
9437348416
10190465440
1198570560
1253953080
13305c9559
141b41d864
1511ac4310
hexb5a45a0

190465440 has 96 divisors (see below), whose sum is σ = 654526656. Its totient is φ = 46172160.

The previous prime is 190465427. The next prime is 190465489. The reversal of 190465440 is 44564091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 12757 + ... + 23316.

It is an arithmetic number, because the mean of its divisors is an integer number (6817986).

Almost surely, 2190465440 is an apocalyptic number.

190465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190465440 is an abundant number, since it is smaller than the sum of its proper divisors (464061216).

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

190465440 is a wasteful number, since it uses less digits than its factorization.

190465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102 (or 36094 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 190465440 is about 13800.9217083498. The cubic root of 190465440 is about 575.3587578414.

The spelling of 190465440 in words is "one hundred ninety million, four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 36073 72146 108219 144292 180365 216438 288584 360730 396803 432876 541095 577168 721460 793606 865752 1082190 1154336 1190409 1442920 1587212 1731504 1984015 2164380 2380818 2885840 3174424 3463008 3968030 4328760 4761636 5771680 5952045 6348848 7936060 8657520 9523272 11904090 12697696 15872120 17315040 19046544 23808180 31744240 38093088 47616360 63488480 95232720 190465440