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990000704 = 26721122609
BaseRepresentation
bin111011000000100…
…011011001000000
32112222212020122202
4323000203121000
54011420010304
6242123052332
733350603300
oct7300433100
92488766582
10990000704
11468914200
122376710a8
1312a148a44
14956a7600
155bda881e
hex3b023640

990000704 has 126 divisors (see below), whose sum is σ = 2512874070. Its totient is φ = 385566720.

The previous prime is 990000689. The next prime is 990000731. The reversal of 990000704 is 407000099.

It can be written as a sum of positive squares in only one way, i.e., 838218304 + 151782400 = 28952^2 + 12320^2 .

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 17 ways as a sum of consecutive naturals, for example, 378152 + ... + 380760.

It is an arithmetic number, because the mean of its divisors is an integer number (19943445).

Almost surely, 2990000704 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 990000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256437035).

990000704 is an abundant number, since it is smaller than the sum of its proper divisors (1522873366).

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

990000704 is a wasteful number, since it uses less digits than its factorization.

990000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 990000704 is about 31464.2766323969. The cubic root of 990000704 is about 996.6557296568.

It can be divided in two parts, 990000 and 704, that multiplied together give a square (696960000 = 264002).

The spelling of 990000704 in words is "nine hundred ninety million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 154 176 196 224 242 308 352 392 448 484 539 616 704 784 847 968 1078 1232 1568 1694 1936 2156 2464 2609 3136 3388 3872 4312 4928 5218 5929 6776 7744 8624 10436 11858 13552 17248 18263 20872 23716 27104 28699 34496 36526 41744 47432 54208 57398 73052 83488 94864 114796 127841 146104 166976 189728 200893 229592 255682 292208 315689 379456 401786 459184 511364 584416 631378 803572 918368 1022728 1168832 1262756 1406251 1607144 1836736 2045456 2209823 2525512 2812502 3214288 4090912 4419646 5051024 5625004 6428576 8181824 8839292 10102048 11250008 12857152 15468761 17678584 20204096 22500016 30937522 35357168 45000032 61875044 70714336 90000064 123750088 141428672 247500176 495000352 990000704