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10128720 = 243576029
BaseRepresentation
bin100110101000…
…110101010000
3201001120222210
4212220311100
510043104340
61001032120
7152043540
oct46506520
921046883
1010128720
115798948
123485640
132138334
1414b9320
15d51180
hex9a8d50

10128720 has 80 divisors (see below), whose sum is σ = 35890560. Its totient is φ = 2314752.

The previous prime is 10128709. The next prime is 10128721. The reversal of 10128720 is 2782101.

Added to its reverse (2782101) it gives a triangular number (12910821 = T5081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 4694.

It is an arithmetic number, because the mean of its divisors is an integer number (448632).

Almost surely, 210128720 is an apocalyptic number.

10128720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128720 is an abundant number, since it is smaller than the sum of its proper divisors (25761840).

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

10128720 is a wasteful number, since it uses less digits than its factorization.

10128720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10128720 is about 3182.5650032639. The cubic root of 10128720 is about 216.3639269608.

Adding to 10128720 its reverse (2782101), we get a triangular number (12910821 = T5081).

The spelling of 10128720 in words is "ten million, one hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6029 12058 18087 24116 30145 36174 42203 48232 60290 72348 84406 90435 96464 120580 126609 144696 168812 180870 211015 241160 253218 289392 337624 361740 422030 482320 506436 633045 675248 723480 844060 1012872 1266090 1446960 1688120 2025744 2532180 3376240 5064360 10128720