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1940201856 = 27333715173
BaseRepresentation
bin111001110100101…
…0010000110000000
312000012211110121000
41303221102012000
512433142424411
6520305132000
766036305115
oct16351220600
95005743530
101940201856
1190621440a
1246192a000
1324bc6b248
1414597090c
15b54ee956
hex73a52180

1940201856 has 128 divisors (see below), whose sum is σ = 5881442400. Its totient is φ = 629213184.

The previous prime is 1940201849. The next prime is 1940201909. The reversal of 1940201856 is 6581020491.

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 self number, because there is not a number n which added to its sum of digits gives 1940201856.

It is a congruent number.

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, 120286 + ... + 135458.

Almost surely, 21940201856 is an apocalyptic number.

1940201856 is a gapful number since it is divisible by the number (16) 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 1940201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940721200).

1940201856 is an abundant number, since it is smaller than the sum of its proper divisors (3941240544).

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

1940201856 is a wasteful number, since it uses less digits than its factorization.

1940201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15233 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1940201856 is about 44047.7224836881. The cubic root of 1940201856 is about 1247.2369595996.

The spelling of 1940201856 in words is "one billion, nine hundred forty million, two hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15173 15984 21312 30346 31968 42624 45519 60692 63936 91038 121384 127872 136557 182076 242768 273114 364152 409671 485536 546228 561401 728304 819342 971072 1092456 1122802 1456608 1638684 1684203 1942144 2184912 2245604 2913216 3277368 3368406 4369824 4491208 5052609 5826432 6554736 6736812 8739648 8982416 10105218 13109472 13473624 15157827 17479296 17964832 20210436 26218944 26947248 30315654 35929664 40420872 52437888 53894496 60631308 71859328 80841744 107788992 121262616 161683488 215577984 242525232 323366976 485050464 646733952 970100928 1940201856