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1393798320 = 24335679631
BaseRepresentation
bin101001100010011…
…1010110010110000
310121010200021212000
41103010322302300
510323303021240
6350145534000
746353042645
oct12304726260
93533607760
101393798320
11655843342
1232a944300
131929b9a45
14d3179dcc
158256c430
hex5313acb0

1393798320 has 160 divisors (see below), whose sum is σ = 4873021440. Its totient is φ = 366094080.

The previous prime is 1393798313. The next prime is 1393798327. The reversal of 1393798320 is 238973931.

It is an interprime number because it is at equal distance from previous prime (1393798313) and next prime (1393798327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1393798327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139905 + ... + 149535.

It is an arithmetic number, because the mean of its divisors is an integer number (30456384).

Almost surely, 21393798320 is an apocalyptic number.

1393798320 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 1393798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436510720).

1393798320 is an abundant number, since it is smaller than the sum of its proper divisors (3479223120).

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

1393798320 is a wasteful number, since it uses less digits than its factorization.

1393798320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1393798320 is about 37333.6084513672. The cubic root of 1393798320 is about 1117.0346515241.

The spelling of 1393798320 in words is "one billion, three hundred ninety-three million, seven hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 67 72 80 90 108 120 134 135 144 180 201 216 240 268 270 335 360 402 432 536 540 603 670 720 804 1005 1072 1080 1206 1340 1608 1809 2010 2160 2412 2680 3015 3216 3618 4020 4824 5360 6030 7236 8040 9045 9631 9648 12060 14472 16080 18090 19262 24120 28893 28944 36180 38524 48155 48240 57786 72360 77048 86679 96310 115572 144465 144720 154096 173358 192620 231144 260037 288930 346716 385240 433395 462288 520074 577860 645277 693432 770480 866790 1040148 1155720 1290554 1300185 1386864 1733580 1935831 2080296 2311440 2581108 2600370 3226385 3467160 3871662 4160592 5162216 5200740 5807493 6452770 6934320 7743324 9679155 10324432 10401480 11614986 12905540 15486648 17422479 19358310 20802960 23229972 25811080 29037465 30973296 34844958 38716620 46459944 51622160 58074930 69689916 77433240 87112395 92919888 116149860 139379832 154866480 174224790 232299720 278759664 348449580 464599440 696899160 1393798320