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1402120746 = 2331361137239
BaseRepresentation
bin101001110010010…
…1010101000101010
310121201100010002000
41103210222220222
510332420330441
6351044151430
746513554405
oct12344525052
93551303060
101402120746
1165a508084
12331698576
13194641b60
14d4304d3c
15831632b6
hex5392aa2a

1402120746 has 128 divisors (see below), whose sum is σ = 3449779200. Its totient is φ = 419489280.

The previous prime is 1402120729. The next prime is 1402120757. The reversal of 1402120746 is 6470212041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866495 + ... + 5866733.

It is an arithmetic number, because the mean of its divisors is an integer number (26951400).

Almost surely, 21402120746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402120746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724889600).

1402120746 is an abundant number, since it is smaller than the sum of its proper divisors (2047658454).

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

1402120746 is a wasteful number, since it uses less digits than its factorization.

1402120746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1402120746 is about 37444.9028039866. The cubic root of 1402120746 is about 1119.2535273576.

Adding to 1402120746 its reverse (6470212041), we get a palindrome (7872332787).

The spelling of 1402120746 in words is "one billion, four hundred two million, one hundred twenty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 137 183 234 239 274 351 366 411 478 549 702 717 793 822 1098 1233 1434 1586 1647 1781 2151 2379 2466 3107 3294 3562 3699 4302 4758 5343 6214 6453 7137 7398 8357 9321 10686 12906 14274 14579 16029 16714 18642 21411 25071 27963 29158 32058 32743 42822 43737 48087 50142 55926 65486 75213 83889 87474 96174 98229 108641 131211 150426 167778 189527 196458 217282 225639 262422 294687 325923 379054 393633 425659 451278 568581 589374 651846 787266 851318 884061 977769 1137162 1276977 1705743 1768122 1955538 1997323 2553954 2933307 3411486 3830931 3994646 5117229 5866614 5991969 7661862 10234458 11492793 11983938 17975907 22985586 25965199 35951814 51930398 53927721 77895597 107855442 155791194 233686791 467373582 701060373 1402120746