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920019090 = 2351723411913
BaseRepresentation
bin110110110101100…
…110000010010010
32101010011210221010
4312311212002102
53341011102330
6231143111350
731541014254
oct6665460222
92333153833
10920019090
11432365a61
12218142556
131187b56c3
148a28bcd4
1555b833b0
hex36d66092

920019090 has 128 divisors (see below), whose sum is σ = 2500388352. Its totient is φ = 215367680.

The previous prime is 920019053. The next prime is 920019109. The reversal of 920019090 is 90910029.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479974 + ... + 481886.

It is an arithmetic number, because the mean of its divisors is an integer number (19534284).

Almost surely, 2920019090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920019090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250194176).

920019090 is an abundant number, since it is smaller than the sum of its proper divisors (1580369262).

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

920019090 is a wasteful number, since it uses less digits than its factorization.

920019090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 920019090 is about 30331.8164639047. The cubic root of 920019090 is about 972.5955532450.

The spelling of 920019090 in words is "nine hundred twenty million, nineteen thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 41 46 51 69 82 85 102 115 123 138 170 205 230 246 255 345 391 410 510 615 690 697 782 943 1173 1230 1394 1886 1913 1955 2091 2346 2829 3485 3826 3910 4182 4715 5658 5739 5865 6970 9430 9565 10455 11478 11730 14145 16031 19130 20910 28290 28695 32062 32521 43999 48093 57390 65042 78433 80155 87998 96186 97563 131997 156866 160310 162605 195126 219995 235299 240465 263994 325210 392165 439990 470598 480930 487815 659985 747983 784330 975630 1176495 1319970 1333361 1495966 1803959 2243949 2352990 2666722 3607918 3739915 4000083 4487898 5411877 6666805 7479830 8000166 9019795 10823754 11219745 13333610 18039590 20000415 22439490 27059385 30667303 40000830 54118770 61334606 92001909 153336515 184003818 306673030 460009545 920019090