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1052420460 = 2235713214827
BaseRepresentation
bin111110101110101…
…010100101101100
32201100022111110120
4332232222211230
54123404423320
6252233004540
735036266140
oct7656524554
92640274416
101052420460
114a0078083
12254553750
1313a062200
149dab5220
15625d8440
hex3ebaa96c

1052420460 has 144 divisors (see below), whose sum is σ = 3646976256. Its totient is φ = 222034176.

The previous prime is 1052420449. The next prime is 1052420471. The reversal of 1052420460 is 640242501.

It is an interprime number because it is at equal distance from previous prime (1052420449) and next prime (1052420471).

It is a super-2 number, since 2×10524204602 = 2215177649253223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052420460.

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, 63567 + ... + 78393.

It is an arithmetic number, because the mean of its divisors is an integer number (25326224).

Almost surely, 21052420460 is an apocalyptic number.

1052420460 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 1052420460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823488128).

1052420460 is an abundant number, since it is smaller than the sum of its proper divisors (2594555796).

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

1052420460 is a wasteful number, since it uses less digits than its factorization.

1052420460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14872 (or 14857 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1052420460 is about 32441.0305015115. The cubic root of 1052420460 is about 1017.1767564232.

Adding to 1052420460 its reverse (640242501), we get a palindrome (1692662961).

The spelling of 1052420460 in words is "one billion, fifty-two million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 195 210 260 273 338 364 390 420 455 507 546 676 780 845 910 1014 1092 1183 1365 1690 1820 2028 2366 2535 2730 3380 3549 4732 5070 5460 5915 7098 10140 11830 14196 14827 17745 23660 29654 35490 44481 59308 70980 74135 88962 103789 148270 177924 192751 207578 222405 296540 311367 385502 415156 444810 518945 578253 622734 771004 889620 963755 1037890 1156506 1245468 1349257 1556835 1927510 2075780 2313012 2505763 2698514 2891265 3113670 3855020 4047771 5011526 5397028 5782530 6227340 6746285 7517289 8095542 10023052 11565060 12528815 13492570 15034578 16191084 17540341 20238855 25057630 26985140 30069156 35080682 37586445 40477710 50115260 52621023 70161364 75172890 80955420 87701705 105242046 150345780 175403410 210484092 263105115 350806820 526210230 1052420460