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200706948 = 223213835167
BaseRepresentation
bin10111111011010…
…00101110000100
3111222122222011200
423331220232010
5402340110243
631525502500
74654660311
oct1375505604
9458588150
10200706948
11a3326112
1257271a30
1332774010
141c927d08
1512948ad3
hexbf68b84

200706948 has 72 divisors (see below), whose sum is σ = 553058688. Its totient is φ = 61000128.

The previous prime is 200706917. The next prime is 200706959. The reversal of 200706948 is 849607002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36261 + ... + 41427.

Almost surely, 2200706948 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 200706948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276529344).

200706948 is an abundant number, since it is smaller than the sum of its proper divisors (352351740).

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

200706948 is a wasteful number, since it uses less digits than its factorization.

200706948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 200706948 is about 14167.1079617542. The cubic root of 200706948 is about 585.4917802014.

The spelling of 200706948 in words is "two hundred million, seven hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 5167 6474 9711 10334 12948 15501 19422 20668 31002 38844 46503 62004 67171 93006 134342 186012 201513 268684 403026 428861 604539 806052 857722 1209078 1286583 1715444 2418156 2573166 3859749 5146332 5575193 7719498 11150386 15438996 16725579 22300772 33451158 50176737 66902316 100353474 200706948