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1400021040 = 2435112323057
BaseRepresentation
bin101001101110010…
…1010000000110000
310121120101102211010
41103130222000300
510331401133130
6350531150520
746456660665
oct12334520060
93546342733
101400021040
11659303590
12330a45440
13194088222
14d3d19a6c
1582d9b0b0
hex5372a030

1400021040 has 160 divisors (see below), whose sum is σ = 4940683776. Its totient is φ = 324628480.

The previous prime is 1400020981. The next prime is 1400021053. The reversal of 1400021040 is 401200041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49192 + ... + 72248.

Almost surely, 21400021040 is an apocalyptic number.

1400021040 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 1400021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470341888).

1400021040 is an abundant number, since it is smaller than the sum of its proper divisors (3540662736).

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

1400021040 is a wasteful number, since it uses less digits than its factorization.

1400021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1400021040 is about 37416.8550255096. The cubic root of 1400021040 is about 1118.6945461522.

Adding to 1400021040 its reverse (401200041), we get a palindrome (1801221081).

The spelling of 1400021040 in words is "one billion, four hundred million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 23057 30360 46114 60720 69171 92228 115285 138342 184456 230570 253627 276684 345855 368912 461140 507254 530311 553368 691710 760881 922280 1014508 1060622 1106736 1268135 1383420 1521762 1590933 1844560 2029016 2121244 2536270 2651555 2766840 3043524 3181866 3804405 4058032 4242488 5072540 5303110 5533680 5833421 6087048 6363732 7608810 7954665 8484976 10145080 10606220 11666842 12174096 12727464 15217620 15909330 17500263 20290160 21212440 23333684 25454928 29167105 30435240 31818660 35000526 42424880 46667368 58334210 60870480 63637320 70001052 87501315 93334736 116668420 127274640 140002104 175002630 233336840 280004208 350005260 466673680 700010520 1400021040