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1400197104 = 24351492417
BaseRepresentation
bin101001101110101…
…0100111111110000
310121120201101100000
41103131110333300
510331422301404
6350535030000
746461323205
oct12335247760
93546641300
101400197104
11659413899
12330b0b300
1319411a3c7
14d3d63cac
1582dd3339
hex53754ff0

1400197104 has 120 divisors (see below), whose sum is σ = 4092706800. Its totient is φ = 463408128.

The previous prime is 1400197103. The next prime is 1400197133. The reversal of 1400197104 is 4017910041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400197103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578104 + ... + 580520.

It is an arithmetic number, because the mean of its divisors is an integer number (34105890).

Almost surely, 21400197104 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 1400197104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046353400).

1400197104 is an abundant number, since it is smaller than the sum of its proper divisors (2692509696).

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

1400197104 is a wasteful number, since it uses less digits than its factorization.

1400197104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1400197104 is about 37419.2076880310. The cubic root of 1400197104 is about 1118.7414391572.

It can be divided in two parts, 1400197 and 104, that added together give a triangular number (1400301 = T1673).

The spelling of 1400197104 in words is "one billion, four hundred million, one hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 243 298 324 432 447 486 596 648 894 972 1192 1296 1341 1788 1944 2384 2417 2682 3576 3888 4023 4834 5364 7152 7251 8046 9668 10728 12069 14502 16092 19336 21456 21753 24138 29004 32184 36207 38672 43506 48276 58008 64368 65259 72414 87012 96552 116016 130518 144828 174024 193104 195777 261036 289656 348048 360133 391554 522072 579312 587331 720266 783108 1044144 1080399 1174662 1440532 1566216 2160798 2349324 2881064 3132432 3241197 4321596 4698648 5762128 6482394 8643192 9397296 9723591 12964788 17286384 19447182 25929576 29170773 38894364 51859152 58341546 77788728 87512319 116683092 155577456 175024638 233366184 350049276 466732368 700098552 1400197104