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1397850900 = 22352191271931
BaseRepresentation
bin101001101010001…
…1000001100010100
310121102022011221120
41103110120030110
510330322212100
6350412443540
746432352025
oct12324301424
93542264846
101397850900
11658061086
123301795b0
131937a8514
14d3912c4c
1582abd0a0
hex53518314

1397850900 has 144 divisors (see below), whose sum is σ = 4293058560. Its totient is φ = 350179200.

The previous prime is 1397850887. The next prime is 1397850901. The reversal of 1397850900 is 90587931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397850901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722935 + ... + 724865.

Almost surely, 21397850900 is an apocalyptic number.

1397850900 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 1397850900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146529280).

1397850900 is an abundant number, since it is smaller than the sum of its proper divisors (2895207660).

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

1397850900 is a wasteful number, since it uses less digits than its factorization.

1397850900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 1397850900 is about 37387.8442812634. The cubic root of 1397850900 is about 1118.1162264507.

The spelling of 1397850900 in words is "one billion, three hundred ninety-seven million, eight hundred fifty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 127 150 190 228 254 285 300 380 381 475 508 570 635 762 950 1140 1270 1425 1524 1900 1905 1931 2413 2540 2850 3175 3810 3862 4826 5700 5793 6350 7239 7620 7724 9525 9652 9655 11586 12065 12700 14478 19050 19310 23172 24130 28956 28965 36195 36689 38100 38620 48260 48275 57930 60325 72390 73378 96550 110067 115860 120650 144780 144825 146756 180975 183445 193100 220134 241300 245237 289650 361950 366890 440268 490474 550335 579300 723900 733780 735711 917225 980948 1100670 1226185 1471422 1834450 2201340 2452370 2751675 2942844 3668900 3678555 4659503 4904740 5503350 6130925 7357110 9319006 11006700 12261850 13978509 14714220 18392775 18638012 23297515 24523700 27957018 36785550 46595030 55914036 69892545 73571100 93190060 116487575 139785090 232975150 279570180 349462725 465950300 698925450 1397850900