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706423680 = 2734513627
BaseRepresentation
bin101010000110110…
…010101110000000
31211020021001010000
4222012302232000
52421321024210
6154033040000
723335334154
oct5206625600
91736231100
10706423680
11332837626
121786b6000
13b347b1a1
1469b6b064
1542040ac0
hex2a1b2b80

706423680 has 160 divisors (see below), whose sum is σ = 2522951640. Its totient is φ = 188365824.

The previous prime is 706423643. The next prime is 706423693. The reversal of 706423680 is 86324607.

706423680 is a `hidden beast` number, since 7 + 0 + 642 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45027 + ... + 58653.

Almost surely, 2706423680 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 706423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261475820).

706423680 is an abundant number, since it is smaller than the sum of its proper divisors (1816527960).

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

706423680 is a wasteful number, since it uses less digits than its factorization.

706423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13658 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 706423680 is about 26578.6320189734. The cubic root of 706423680 is about 890.6117411877.

The spelling of 706423680 in words is "seven hundred six million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 13627 17280 25920 27254 40881 51840 54508 68135 81762 109016 122643 136270 163524 204405 218032 245286 272540 327048 367929 408810 436064 490572 545080 613215 654096 735858 817620 872128 981144 1090160 1103787 1226430 1308192 1471716 1635240 1744256 1839645 1962288 2180320 2207574 2452860 2616384 2943432 3270480 3679290 3924576 4360640 4415148 4905720 5232768 5518935 5886864 6540960 7358580 7849152 8721280 8830296 9811440 11037870 11773728 13081920 14717160 15698304 17660592 19622880 22075740 23547456 26163840 29434320 35321184 39245760 44151480 47094912 58868640 70642368 78491520 88302960 117737280 141284736 176605920 235474560 353211840 706423680