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1016229420 = 2232537532879
BaseRepresentation
bin111100100100100…
…110111000101100
32121211012210200200
4330210212320230
54040123320140
6244501153500
734116543663
oct7444467054
92554183620
101016229420
114816a9228
122443bb890
131327002ab
1498d73dda
155e33a030
hex3c926e2c

1016229420 has 144 divisors (see below), whose sum is σ = 3226728960. Its totient is φ = 258605568.

The previous prime is 1016229419. The next prime is 1016229463. The reversal of 1016229420 is 249226101.

1016229420 is a `hidden beast` number, since 1 + 0 + 16 + 229 + 420 = 666.

1016229420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 351541 + ... + 354419.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 21016229420 is an apocalyptic number.

1016229420 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 1016229420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1016229420 is an abundant number, since it is smaller than the sum of its proper divisors (2210499540).

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

1016229420 is a wasteful number, since it uses less digits than its factorization.

1016229420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1016229420 is about 31878.3534706547. The cubic root of 1016229420 is about 1005.3808017095.

The spelling of 1016229420 in words is "one billion, sixteen million, two hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 53 60 74 90 106 111 148 159 180 185 212 222 265 318 333 370 444 477 530 555 636 666 740 795 954 1060 1110 1332 1590 1665 1908 1961 2220 2385 2879 3180 3330 3922 4770 5758 5883 6660 7844 8637 9540 9805 11516 11766 14395 17274 17649 19610 23532 25911 28790 29415 34548 35298 39220 43185 51822 57580 58830 70596 86370 88245 103644 106523 117660 129555 152587 172740 176490 213046 259110 305174 319569 352980 426092 457761 518220 532615 610348 639138 762935 915522 958707 1065230 1278276 1373283 1525870 1597845 1831044 1917414 2130460 2288805 2746566 3051740 3195690 3834828 4577610 4793535 5493132 5645719 6391380 6866415 9155220 9587070 11291438 13732830 16937157 19174140 22582876 27465660 28228595 33874314 50811471 56457190 67748628 84685785 101622942 112914380 169371570 203245884 254057355 338743140 508114710 1016229420