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1428700416 = 283111313009
BaseRepresentation
bin101010100101000…
…0011110100000000
310200120100111112020
41111022003310000
510411221403131
6353434001440
750255516223
oct12512036400
93616314466
101428700416
11673511850
1233a576280
13199cba080
14d7a635ba
1585663996
hex55283d00

1428700416 has 144 divisors (see below), whose sum is σ = 4467529920. Its totient is φ = 399605760.

The previous prime is 1428700397. The next prime is 1428700439. The reversal of 1428700416 is 6140078241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103320 + ... + 116328.

Almost surely, 21428700416 is an apocalyptic number.

1428700416 is a gapful number since it is divisible by the number (16) 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 1428700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233764960).

1428700416 is an abundant number, since it is smaller than the sum of its proper divisors (3038829504).

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

1428700416 is a wasteful number, since it uses less digits than its factorization.

1428700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1428700416 is about 37798.1536056988. The cubic root of 1428700416 is about 1126.2817761810.

Adding to 1428700416 its reverse (6140078241), we get a palindrome (7568778657).

The spelling of 1428700416 in words is "one billion, four hundred twenty-eight million, seven hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13009 13728 18304 26018 27456 36608 39027 52036 54912 78054 104072 109824 143099 156108 169117 208144 286198 312216 338234 416288 429297 507351 572396 624432 676468 832576 858594 1014702 1144792 1248864 1352936 1665152 1717188 1860287 2029404 2289584 2497728 2705872 3330304 3434376 3720574 4058808 4579168 4995456 5411744 5580861 6868752 7441148 8117616 9158336 9990912 10823488 11161722 13737504 14882296 16235232 18316672 21646976 22323444 27475008 29764592 32470464 36633344 43293952 44646888 54950016 59529184 64940928 89293776 109900032 119058368 129881856 178587552 238116736 357175104 476233472 714350208 1428700416