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1029631980 = 2235132714871
BaseRepresentation
bin111101010111101…
…110111111101100
32122202102201112210
4331113232333230
54102041210410
6250100330420
734341504336
oct7527567754
92582381483
101029631980
11489222823
122489a3a10
131354137c0
149aa62456
15605d6220
hex3d5eefec

1029631980 has 96 divisors (see below), whose sum is σ = 3116832768. Its totient is φ = 252460800.

The previous prime is 1029631973. The next prime is 1029632027. The reversal of 1029631980 is 891369201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 208945 + ... + 213815.

It is an arithmetic number, because the mean of its divisors is an integer number (32467008).

Almost surely, 21029631980 is an apocalyptic number.

1029631980 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 1029631980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558416384).

1029631980 is an abundant number, since it is smaller than the sum of its proper divisors (2087200788).

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

1029631980 is a wasteful number, since it uses less digits than its factorization.

1029631980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1029631980 is about 32087.8790199664. The cubic root of 1029631980 is about 1009.7813401103.

The spelling of 1029631980 in words is "one billion, twenty-nine million, six hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 780 813 1084 1355 1626 2710 3252 3523 4065 4871 5420 7046 8130 9742 10569 14092 14613 16260 17615 19484 21138 24355 29226 35230 42276 48710 52845 58452 63323 70460 73065 97420 105690 126646 146130 189969 211380 253292 292260 316615 379938 633230 759876 949845 1266460 1320041 1899690 2640082 3799380 3960123 5280164 6600205 7920246 13200410 15840492 17160533 19800615 26400820 34321066 39601230 51481599 68642132 79202460 85802665 102963198 171605330 205926396 257407995 343210660 514815990 1029631980