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920378970 = 233572811733
BaseRepresentation
bin110110110110111…
…101111001011010
32101010212002121000
4312312331321122
53341104111340
6231154525430
731544043420
oct6666757132
92333762530
10920378970
11432591385
12218296876
131188b0454
148a343110
1555c04d30
hex36dbde5a

920378970 has 128 divisors (see below), whose sum is σ = 2816570880. Its totient is φ = 209502720.

The previous prime is 920378969. The next prime is 920378999. The reversal of 920378970 is 79873029.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530224 + ... + 531956.

It is an arithmetic number, because the mean of its divisors is an integer number (22004460).

Almost surely, 2920378970 is an apocalyptic number.

920378970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920378970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408285440).

920378970 is an abundant number, since it is smaller than the sum of its proper divisors (1896191910).

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

920378970 is a wasteful number, since it uses less digits than its factorization.

920378970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 920378970 is about 30337.7482684526. The cubic root of 920378970 is about 972.7223520847.

The spelling of 920378970 in words is "nine hundred twenty million, three hundred seventy-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 281 315 378 562 630 843 945 1405 1686 1733 1890 1967 2529 2810 3466 3934 4215 5058 5199 5901 7587 8430 8665 9835 10398 11802 12131 12645 15174 15597 17330 17703 19670 24262 25290 25995 29505 31194 35406 36393 37935 46791 51990 53109 59010 60655 72786 75870 77985 88515 93582 106218 109179 121310 155970 177030 181965 218358 233955 265545 327537 363930 467910 486973 531090 545895 655074 973946 1091790 1460919 1637685 2434865 2921838 3275370 3408811 4382757 4869730 6817622 7304595 8765514 10226433 13148271 14609190 17044055 20452866 21913785 26296542 30679299 34088110 43827570 51132165 61358598 65741355 92037897 102264330 131482710 153396495 184075794 306792990 460189485 920378970