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1402122020 = 225132597989
BaseRepresentation
bin101001110010010…
…1010111100100100
310121201100011211012
41103210222330210
510332420401040
6351044201352
746513561205
oct12344527444
93551304735
101402122020
1165a509032
12331699258
13194642600
14d43055ac
1583163865
hex5392af24

1402122020 has 144 divisors (see below), whose sum is σ = 3320352000. Its totient is φ = 496843776.

The previous prime is 1402121969. The next prime is 1402122031. The reversal of 1402122020 is 202212041.

1402122020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1402121986 and 1402122004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15754136 + ... + 15754224.

It is an arithmetic number, because the mean of its divisors is an integer number (23058000).

Almost surely, 21402122020 is an apocalyptic number.

1402122020 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 1402122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660176000).

1402122020 is an abundant number, since it is smaller than the sum of its proper divisors (1918229980).

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

1402122020 is a wasteful number, since it uses less digits than its factorization.

1402122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1402122020 is about 37444.9198156439. The cubic root of 1402122020 is about 1119.2538663509.

Adding to 1402122020 its reverse (202212041), we get a palindrome (1604334061).

The spelling of 1402122020 in words is "one billion, four hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 79 89 118 130 158 169 178 236 260 295 316 338 356 395 445 590 676 767 790 845 890 1027 1157 1180 1534 1580 1690 1780 2054 2314 3068 3380 3835 4108 4628 4661 5135 5251 5785 7031 7670 9322 9971 10270 10502 11570 13351 14062 15041 15340 18644 19942 20540 21004 23140 23305 26255 26702 28124 30082 35155 39884 46610 49855 52510 53404 60164 60593 66755 68263 70310 75205 91403 93220 99710 105020 121186 133510 136526 140620 150410 182806 199420 242372 267020 273052 300820 302965 341315 365612 414829 457015 605930 682630 787709 829658 887419 914030 1188239 1211860 1365260 1575418 1659316 1774838 1828060 2074145 2376478 3150836 3549676 3938545 4148290 4437095 4752956 5392777 5941195 7877090 8296580 8874190 10785554 11882390 15754180 17748380 21571108 23764780 26963885 53927770 70106101 107855540 140212202 280424404 350530505 701061010 1402122020