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1420394624 = 27112321907
BaseRepresentation
bin101010010101001…
…1000000010000000
310122222201112010022
41110222120002000
510402110111444
6352535553012
750125104125
oct12452300200
93588645108
101420394624
11669859560
1233782b768
1319836c6bc
14d690074c
1584a729ee
hex54a98080

1420394624 has 96 divisors (see below), whose sum is σ = 3228679440. Its totient is φ = 617239040.

The previous prime is 1420394603. The next prime is 1420394663. The reversal of 1420394624 is 4264930241.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743879 + ... + 745785.

Almost surely, 21420394624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614339720).

1420394624 is an abundant number, since it is smaller than the sum of its proper divisors (1808284816).

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

1420394624 is a wasteful number, since it uses less digits than its factorization.

1420394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1420394624 is about 37688.1231159101. The cubic root of 1420394624 is about 1124.0949755740.

The spelling of 1420394624 in words is "one billion, four hundred twenty million, three hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 529 704 736 1012 1058 1408 1472 1907 2024 2116 2944 3814 4048 4232 5819 7628 8096 8464 11638 15256 16192 16928 20977 23276 30512 32384 33856 41954 43861 46552 61024 67712 83908 87722 93104 122048 167816 175444 186208 244096 335632 350888 372416 482471 671264 701776 744832 964942 1008803 1342528 1403552 1929884 2017606 2685056 2807104 3859768 4035212 5614208 7719536 8070424 11096833 15439072 16140848 22193666 30878144 32281696 44387332 61756288 64563392 88774664 129126784 177549328 355098656 710197312 1420394624