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1021997232 = 2432191073491
BaseRepresentation
bin111100111010100…
…111000010110000
32122020001211122100
4330322213002300
54043112402412
6245224540400
734216555524
oct7472470260
92566054570
101021997232
11484988713
12246321700
1313396c6b9
1499a35d84
155eac8edc
hex3cea70b0

1021997232 has 120 divisors (see below), whose sum is σ = 3039716160. Its totient is φ = 319628160.

The previous prime is 1021997231. The next prime is 1021997237. The reversal of 1021997232 is 2327991201.

1021997232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1021997231) 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, 291007 + ... + 294497.

It is an arithmetic number, because the mean of its divisors is an integer number (25330968).

Almost surely, 21021997232 is an apocalyptic number.

1021997232 is a gapful number since it is divisible by the number (12) 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 1021997232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519858080).

1021997232 is an abundant number, since it is smaller than the sum of its proper divisors (2017718928).

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

1021997232 is a wasteful number, since it uses less digits than its factorization.

1021997232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1021997232 is about 31968.6914339639. The cubic root of 1021997232 is about 1007.2792939739.

The spelling of 1021997232 in words is "one billion, twenty-one million, nine hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 107 114 144 152 171 214 228 304 321 342 428 456 642 684 856 912 963 1284 1368 1712 1926 2033 2568 2736 3491 3852 4066 5136 6099 6982 7704 8132 10473 12198 13964 15408 16264 18297 20946 24396 27928 31419 32528 36594 41892 48792 55856 62838 66329 73188 83784 97584 125676 132658 146376 167568 198987 251352 265316 292752 373537 397974 502704 530632 596961 747074 795948 1061264 1120611 1193922 1494148 1591896 2241222 2387844 2988296 3183792 3361833 4482444 4775688 5976592 6723666 7097203 8964888 9551376 13447332 14194406 17929776 21291609 26894664 28388812 42583218 53789328 56777624 63874827 85166436 113555248 127749654 170332872 255499308 340665744 510998616 1021997232