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90216028 = 227192373101
BaseRepresentation
bin1010110000010…
…01011001011100
320021202110010101
411120021121130
5141043403103
612541350444
72143552330
oct530113134
9207673111
1090216028
1146a19701
1226268424
13158c9386
14bda57c0
157dc0a1d
hex560965c

90216028 has 96 divisors (see below), whose sum is σ = 202890240. Its totient is φ = 34214400.

The previous prime is 90216019. The next prime is 90216037. The reversal of 90216028 is 82061209.

It is a happy number.

90216028 is a nontrivial binomial coefficient, being equal to C(13433, 2).

It is an interprime number because it is at equal distance from previous prime (90216019) and next prime (90216037).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 90215987 and 90216005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893178 + ... + 893278.

It is an arithmetic number, because the mean of its divisors is an integer number (2113440).

Almost surely, 290216028 is an apocalyptic number.

90216028 is the 13432-nd triangular number.

90216028 is the 4478-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90216028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445120).

90216028 is an abundant number, since it is smaller than the sum of its proper divisors (112674212).

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

90216028 is a wasteful number, since it uses less digits than its factorization.

90216028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90216028 is about 9498.2118317081. The cubic root of 90216028 is about 448.4987470070.

The spelling of 90216028 in words is "ninety million, two hundred sixteen thousand, twenty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 73 76 92 101 133 146 161 202 266 292 322 404 437 511 532 644 707 874 1022 1387 1414 1679 1748 1919 2044 2323 2774 2828 3059 3358 3838 4646 5548 6118 6716 7373 7676 9292 9709 11753 12236 13433 14746 16261 19418 23506 26866 29492 31901 32522 38836 44137 47012 51611 53732 63802 65044 88274 103222 127604 140087 169579 176548 206444 223307 280174 308959 339158 446614 560348 617918 678316 893228 980609 1187053 1235836 1961218 2374106 3222001 3922436 4748212 6444002 12888004 22554007 45108014 90216028