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1494940900 = 22521719311493
BaseRepresentation
bin101100100011010…
…1111110011100100
310212011222212101111
41121012233303210
511030201102100
6404201434404
752021534165
oct13106576344
93764885344
101494940900
116a7945252
1235879ba04
131aa94061b
1410278776c
158b39a6ba
hex591afce4

1494940900 has 144 divisors (see below), whose sum is σ = 3734760960. Its totient is φ = 515635200.

The previous prime is 1494940871. The next prime is 1494940943. The reversal of 1494940900 is 90494941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000554 + ... + 1002046.

It is an arithmetic number, because the mean of its divisors is an integer number (25935840).

Almost surely, 21494940900 is an apocalyptic number.

1494940900 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 1494940900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867380480).

1494940900 is an abundant number, since it is smaller than the sum of its proper divisors (2239820060).

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

1494940900 is a wasteful number, since it uses less digits than its factorization.

1494940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1494940900 is about 38664.4655982725. The cubic root of 1494940900 is about 1143.4258543750.

The spelling of 1494940900 in words is "one billion, four hundred ninety-four million, nine hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 31 34 38 50 62 68 76 85 95 100 124 155 170 190 310 323 340 380 425 475 527 589 620 646 775 850 950 1054 1178 1292 1493 1550 1615 1700 1900 2108 2356 2635 2945 2986 3100 3230 5270 5890 5972 6460 7465 8075 10013 10540 11780 13175 14725 14930 16150 20026 25381 26350 28367 29450 29860 32300 37325 40052 46283 50065 50762 52700 56734 58900 74650 92566 100130 101524 113468 126905 141835 149300 185132 200260 231415 250325 253810 283670 462830 482239 500650 507620 567340 634525 709175 786811 879377 925660 964478 1001300 1157075 1269050 1418350 1573622 1758754 1928956 2314150 2411195 2538100 2836700 3147244 3517508 3934055 4396885 4628300 4822390 7868110 8793770 9644780 12055975 14949409 15736220 17587540 19670275 21984425 24111950 29898818 39340550 43968850 48223900 59797636 74747045 78681100 87937700 149494090 298988180 373735225 747470450 1494940900