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920465196 = 223731511481
BaseRepresentation
bin110110110111010…
…010111100101100
32101011000110212120
4312313102330230
53341114341241
6231200432540
731544553000
oct6667227454
92334013776
10920465196
11432640142
12218318750
13118910781
148a366700
1555c20666
hex36dd2f2c

920465196 has 96 divisors (see below), whose sum is σ = 2522956800. Its totient is φ = 261072000.

The previous prime is 920465167. The next prime is 920465197. The reversal of 920465196 is 691564029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (920465197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620776 + ... + 622256.

It is an arithmetic number, because the mean of its divisors is an integer number (26280800).

Almost surely, 2920465196 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 920465196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261478400).

920465196 is an abundant number, since it is smaller than the sum of its proper divisors (1602491604).

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

920465196 is a wasteful number, since it uses less digits than its factorization.

920465196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 920465196 is about 30339.1693360250. The cubic root of 920465196 is about 972.7527277384.

The spelling of 920465196 in words is "nine hundred twenty million, four hundred sixty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 343 453 588 604 686 906 1029 1057 1372 1481 1812 2058 2114 2962 3171 4116 4228 4443 5924 6342 7399 8886 10367 12684 14798 17772 20734 22197 29596 31101 41468 44394 51793 62202 72569 88788 103586 124404 145138 155379 207172 217707 223631 290276 310758 435414 447262 507983 621516 670893 870828 894524 1015966 1341786 1523949 1565417 2031932 2683572 3047898 3130834 4696251 6095796 6261668 9392502 10957919 18785004 21915838 32873757 43831676 65747514 76705433 131495028 153410866 230116299 306821732 460232598 920465196