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1214991400 = 235276712953
BaseRepresentation
bin100100001101011…
…0100110000101000
310010200012221212111
41020122310300220
54442014211100
6320321252104
742052153660
oct11032646050
93120187774
101214991400
11573916027
1229aa94034
13164942c2c
14b75131a0
15719ec6ba
hex486b4c28

1214991400 has 96 divisors (see below), whose sum is σ = 3276843840. Its totient is φ = 410319360.

The previous prime is 1214991397. The next prime is 1214991409. The reversal of 1214991400 is 41994121.

It is not an unprimeable number, because it can be changed into a prime (1214991409) 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, 87324 + ... + 100276.

It is an arithmetic number, because the mean of its divisors is an integer number (34133790).

Almost surely, 21214991400 is an apocalyptic number.

1214991400 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 1214991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638421920).

1214991400 is an abundant number, since it is smaller than the sum of its proper divisors (2061852440).

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

1214991400 is a wasteful number, since it uses less digits than its factorization.

1214991400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1214991400 is about 34856.7267539567. The cubic root of 1214991400 is about 1067.0654737047.

The spelling of 1214991400 in words is "one billion, two hundred fourteen million, nine hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2345 2680 3350 3752 4690 6700 9380 11725 12953 13400 18760 23450 25906 46900 51812 64765 90671 93800 103624 129530 181342 259060 323825 362684 453355 518120 647650 725368 867851 906710 1295300 1735702 1813420 2266775 2590600 3471404 3626840 4339255 4533550 6074957 6942808 8678510 9067100 12149914 17357020 18134200 21696275 24299828 30374785 34714040 43392550 48599656 60749570 86785100 121499140 151873925 173570200 242998280 303747850 607495700 1214991400