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1382920704 = 29321127283
BaseRepresentation
bin101001001101101…
…1011001000000000
310120101012122120100
41102123123020000
510313011430304
6345120442400
746161426534
oct12233331000
93511178510
101382920704
1164a693880
12327179400
1319067b899
14d1947bc4
158161e439
hex526db200

1382920704 has 120 divisors (see below), whose sum is σ = 4354198992. Its totient is φ = 419051520.

The previous prime is 1382920699. The next prime is 1382920727. The reversal of 1382920704 is 4070292831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37047 + ... + 64329.

Almost surely, 21382920704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177099496).

1382920704 is an abundant number, since it is smaller than the sum of its proper divisors (2971278288).

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

1382920704 is a wasteful number, since it uses less digits than its factorization.

1382920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27318 (or 27299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1382920704 is about 37187.6418182170. The cubic root of 1382920704 is about 1114.1211690532.

The spelling of 1382920704 in words is "one billion, three hundred eighty-two million, nine hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 27283 50688 54566 81849 109132 163698 218264 245547 300113 327396 436528 491094 600226 654792 873056 900339 982188 1200452 1309584 1746112 1800678 1964376 2400904 2619168 2701017 3492224 3601356 3928752 4801808 5238336 5402034 6984448 7202712 7857504 9603616 10476672 10804068 13968896 14405424 15715008 19207232 20953344 21608136 28810848 31430016 38414464 41906688 43216272 57621696 62860032 76828928 86432544 115243392 125720064 153657856 172865088 230486784 345730176 460973568 691460352 1382920704