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1028950920 = 233258093533
BaseRepresentation
bin111101010101001…
…000101110001000
32122201011010022100
4331111020232020
54101402412140
6250033553400
734332636624
oct7525105610
92581133270
101028950920
114888a8068
12248715860
131352357ca
149a926184
15604ee530
hex3d548b88

1028950920 has 96 divisors (see below), whose sum is σ = 3349171800. Its totient is φ = 273970176.

The previous prime is 1028950873. The next prime is 1028950921. The reversal of 1028950920 is 290598201.

It can be written as a sum of positive squares in 4 ways, for example, as 1023104196 + 5846724 = 31986^2 + 2418^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1028950921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289474 + ... + 293006.

Almost surely, 21028950920 is an apocalyptic number.

1028950920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674585900).

1028950920 is an abundant number, since it is smaller than the sum of its proper divisors (2320220880).

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

1028950920 is a wasteful number, since it uses less digits than its factorization.

1028950920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1028950920 is about 32077.2648459933. The cubic root of 1028950920 is about 1009.5586478015.

The spelling of 1028950920 in words is "one billion, twenty-eight million, nine hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 809 1618 2427 3236 3533 4045 4854 6472 7066 7281 8090 9708 10599 12135 14132 14562 16180 17665 19416 21198 24270 28264 29124 31797 32360 35330 36405 42396 48540 52995 58248 63594 70660 72810 84792 97080 105990 127188 141320 145620 158985 211980 254376 291240 317970 423960 635940 1271880 2858197 5716394 8574591 11432788 14290985 17149182 22865576 25723773 28581970 34298364 42872955 51447546 57163940 68596728 85745910 102895092 114327880 128618865 171491820 205790184 257237730 342983640 514475460 1028950920