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1400123120 = 245116723747
BaseRepresentation
bin101001101110100…
…0010111011110000
310121120120121211212
41103131002323300
510331412414440
6350533255252
746460564414
oct12335027360
93546517755
101400123120
11659373250
12330a94528
131940c2826
14d3d44d44
1582dbb465
hex53742ef0

1400123120 has 80 divisors (see below), whose sum is σ = 3604376448. Its totient is φ = 501515520.

The previous prime is 1400123119. The next prime is 1400123171. The reversal of 1400123120 is 213210041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1400123095 and 1400123104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47087 + ... + 70833.

Almost surely, 21400123120 is an apocalyptic number.

1400123120 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 1400123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802188224).

1400123120 is an abundant number, since it is smaller than the sum of its proper divisors (2204253328).

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

1400123120 is a wasteful number, since it uses less digits than its factorization.

1400123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23838 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1400123120 is about 37418.2190917740. The cubic root of 1400123120 is about 1118.7217346874.

Adding to 1400123120 its reverse (213210041), we get a palindrome (1613333161).

The spelling of 1400123120 in words is "one billion, four hundred million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5896 7370 11792 14740 23747 29480 47494 58960 94988 118735 189976 237470 261217 379952 474940 522434 949880 1044868 1306085 1591049 1899760 2089736 2612170 3182098 4179472 5224340 6364196 7955245 10448680 12728392 15910490 17501539 20897360 25456784 31820980 35003078 63641960 70006156 87507695 127283920 140012312 175015390 280024624 350030780 700061560 1400123120