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1390383360 = 2833540231
BaseRepresentation
bin101001011011111…
…1001000100000000
310120220020210102000
41102313321010000
510321414231420
6345544424000
746312030542
oct12267710400
93526223360
101390383360
11653920663
12329778000
13192092562
14d292b692
15820e5690
hex52df9100

1390383360 has 144 divisors (see below), whose sum is σ = 4934052480. Its totient is φ = 370759680.

The previous prime is 1390383343. The next prime is 1390383361. The reversal of 1390383360 is 633830931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1390383361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14445 + ... + 54675.

Almost surely, 21390383360 is an apocalyptic number.

1390383360 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 1390383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467026240).

1390383360 is an abundant number, since it is smaller than the sum of its proper divisors (3543669120).

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

1390383360 is an equidigital number, since it uses as much as digits as its factorization.

1390383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261 (or 40241 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1390383360 is about 37287.8446682025. The cubic root of 1390383360 is about 1116.1216193044.

The spelling of 1390383360 in words is "one billion, three hundred ninety million, three hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 40231 80462 120693 160924 201155 241386 321848 362079 402310 482772 603465 643696 724158 804620 965544 1086237 1206930 1287392 1448316 1609240 1810395 1931088 2172474 2413860 2574784 2896632 3218480 3620790 3862176 4344948 4827720 5149568 5431185 5793264 6436960 7241580 7724352 8689896 9655440 10299136 10862370 11586528 12873920 14483160 15448704 17379792 19310880 21724740 23173056 25747840 28966320 30897408 34759584 38621760 43449480 46346112 51495680 57932640 69519168 77243520 86898960 92692224 115865280 139038336 154487040 173797920 231730560 278076672 347595840 463461120 695191680 1390383360