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1397983140 = 2232519676101
BaseRepresentation
bin101001101010011…
…1000011110100100
310121102112220100100
41103110320132210
510330340430030
6350415344100
746433442411
oct12324703644
93542486310
101397983140
11658141474
12330222030
13193823778
14d3949108
1582ae7360
hex535387a4

1397983140 has 144 divisors (see below), whose sum is σ = 4531101120. Its totient is φ = 347846400.

The previous prime is 1397983133. The next prime is 1397983163. The reversal of 1397983140 is 413897931.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226090 + ... + 232190.

It is an arithmetic number, because the mean of its divisors is an integer number (31465980).

Almost surely, 21397983140 is an apocalyptic number.

1397983140 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 1397983140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265550560).

1397983140 is an abundant number, since it is smaller than the sum of its proper divisors (3133117980).

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

1397983140 is a wasteful number, since it uses less digits than its factorization.

1397983140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1397983140 is about 37389.6127286710. The cubic root of 1397983140 is about 1118.1514841518.

The spelling of 1397983140 in words is "one billion, three hundred ninety-seven million, nine hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 228 268 285 335 342 380 402 570 603 670 684 804 855 1005 1140 1206 1273 1340 1710 2010 2412 2546 3015 3420 3819 4020 5092 6030 6101 6365 7638 11457 12060 12202 12730 15276 18303 19095 22914 24404 25460 30505 36606 38190 45828 54909 57285 61010 73212 76380 91515 109818 114570 115919 122020 183030 219636 229140 231838 274545 347757 366060 408767 463676 549090 579595 695514 817534 1043271 1098180 1159190 1226301 1391028 1635068 1738785 2043835 2086542 2318380 2452602 3477570 3678903 4087670 4173084 4905204 5216355 6131505 6955140 7357806 7766573 8175340 10432710 12263010 14715612 15533146 18394515 20865420 23299719 24526020 31066292 36789030 38832865 46599438 69899157 73578060 77665730 93198876 116498595 139798314 155331460 232997190 279596628 349495785 465994380 698991570 1397983140