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990990400 = 26527872
BaseRepresentation
bin111011000100010…
…101000001000000
32120001201112021011
4323010111001000
54012143143100
6242200210304
733362164561
oct7304250100
92501645234
10990990400
1146942a834
12237a69994
1312a40436a
1495884168
155c001bba
hex3b115040

990990400 has 63 divisors (see below), whose sum is σ = 2441558109. Its totient is φ = 395892480.

The previous prime is 990990383. The next prime is 990990431. The reversal of 990990400 is 4099099.

The square root of 990990400 is 31480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 356756544 + 634233856 = 18888^2 + 25184^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1258807 + ... + 1259593.

Almost surely, 2990990400 is an apocalyptic number.

990990400 is the 31480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990990400

990990400 is an abundant number, since it is smaller than the sum of its proper divisors (1450567709).

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

990990400 is an frugal number, since it uses more digits than its factorization.

990990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The cubic root of 990990400 is about 996.9877353726.

Multiplying 990990400 by its product of nonzero digits (26244), we get a square (26007552057600 = 50997602).

The spelling of 990990400 in words is "nine hundred ninety million, nine hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 787 800 1574 1600 3148 3935 6296 7870 12592 15740 19675 25184 31480 39350 50368 62960 78700 125920 157400 251840 314800 619369 629600 1238738 1259200 2477476 3096845 4954952 6193690 9909904 12387380 15484225 19819808 24774760 30968450 39639616 49549520 61936900 99099040 123873800 198198080 247747600 495495200 990990400