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200403968 = 2102367127
BaseRepresentation
bin10111111000111…
…10110000000000
3111222002120120012
423330132300000
5402300411333
631515204052
74652256062
oct1374366000
9458076505
10200403968
11a3139516
1257146628
133269913b
141c889732
15128d8e48
hexbf1ec00

200403968 has 88 divisors (see below), whose sum is σ = 427610112. Its totient is φ = 93671424.

The previous prime is 200403953. The next prime is 200403977. The reversal of 200403968 is 869304002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1577921 + ... + 1578047.

Almost surely, 2200403968 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 200403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213805056).

200403968 is an abundant number, since it is smaller than the sum of its proper divisors (227206144).

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

200403968 is a wasteful number, since it uses less digits than its factorization.

200403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 200403968 is about 14156.4108445608. The cubic root of 200403968 is about 585.1970193773.

The spelling of 200403968 in words is "two hundred million, four hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 127 128 134 184 254 256 268 368 508 512 536 736 1016 1024 1072 1472 1541 2032 2144 2921 2944 3082 4064 4288 5842 5888 6164 8128 8509 8576 11684 11776 12328 16256 17018 17152 23368 23552 24656 32512 34036 34304 46736 49312 65024 68072 68608 93472 98624 130048 136144 186944 195707 197248 272288 373888 391414 394496 544576 747776 782828 788992 1089152 1495552 1565656 1577984 2178304 2991104 3131312 4356608 6262624 8713216 12525248 25050496 50100992 100201984 200403968