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1427469696 = 27331921739
BaseRepresentation
bin101010100010101…
…0111010110000000
310200111000222022000
41111011113112000
510410413012241
6353351344000
750242202142
oct12505272600
93614028260
101427469696
11672851124
1233a082000
13199978b33
14d7822c92
15854bdeb6
hex55157580

1427469696 has 128 divisors (see below), whose sum is σ = 4434960000. Its totient is φ = 450759168.

The previous prime is 1427469691. The next prime is 1427469707. The reversal of 1427469696 is 6969647241.

It is a happy number.

1427469696 is a `hidden beast` number, since 1 + 427 + 46 + 96 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427469691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54795 + ... + 76533.

It is an arithmetic number, because the mean of its divisors is an integer number (34648125).

Almost surely, 21427469696 is an apocalyptic number.

1427469696 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 1427469696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217480000).

1427469696 is an abundant number, since it is smaller than the sum of its proper divisors (3007490304).

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

1427469696 is a wasteful number, since it uses less digits than its factorization.

1427469696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21781 (or 21763 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1427469696 is about 37781.8699378419. The cubic root of 1427469696 is about 1125.9582803893.

The spelling of 1427469696 in words is "one billion, four hundred twenty-seven million, four hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21739 21888 32832 43478 65217 65664 86956 130434 173912 195651 260868 347824 391302 413041 521736 586953 695648 782604 826082 1043472 1173906 1239123 1391296 1565208 1652164 2086944 2347812 2478246 2782592 3130416 3304328 3717369 4173888 4695624 4956492 6260832 6608656 7434738 8347776 9391248 9912984 11152107 12521664 13217312 14869476 18782496 19825968 22304214 25043328 26434624 29738952 37564992 39651936 44608428 52869248 59477904 75129984 79303872 89216856 118955808 158607744 178433712 237911616 356867424 475823232 713734848 1427469696