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1960201296 = 24352272221
BaseRepresentation
bin111010011010110…
…0100110001010000
312001121110112200000
41310311210301100
513003302420141
6522301530000
766401302404
oct16465446120
95047415600
101960201296
11916534279
12468573900
13253151331
14148499104
15b71505b6
hex74d64c50

1960201296 has 120 divisors (see below), whose sum is σ = 5716654944. Its totient is φ = 650229120.

The previous prime is 1960201279. The next prime is 1960201301. The reversal of 1960201296 is 6921020691.

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 1960201296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881466 + ... + 883686.

Almost surely, 21960201296 is an apocalyptic number.

1960201296 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 1960201296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858327472).

1960201296 is an abundant number, since it is smaller than the sum of its proper divisors (3756453648).

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

1960201296 is a wasteful number, since it uses less digits than its factorization.

1960201296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1960201296 is about 44274.1605905747. The cubic root of 1960201296 is about 1251.5077903367.

The spelling of 1960201296 in words is "one billion, nine hundred sixty million, two hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 227 243 324 432 454 486 648 681 908 972 1296 1362 1816 1944 2043 2221 2724 3632 3888 4086 4442 5448 6129 6663 8172 8884 10896 12258 13326 16344 17768 18387 19989 24516 26652 32688 35536 36774 39978 49032 53304 55161 59967 73548 79956 98064 106608 110322 119934 147096 159912 179901 220644 239868 294192 319824 359802 441288 479736 504167 539703 719604 882576 959472 1008334 1079406 1439208 1512501 2016668 2158812 2878416 3025002 4033336 4317624 4537503 6050004 8066672 8635248 9075006 12100008 13612509 18150012 24200016 27225018 36300024 40837527 54450036 72600048 81675054 108900072 122512581 163350108 217800144 245025162 326700216 490050324 653400432 980100648 1960201296