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100379730 = 235111729617
BaseRepresentation
bin1011111101110…
…10110001010010
320222212211002210
411332322301102
5201144122410
613543252550
72326133163
oct576726122
9228784083
10100379730
1151730860
122974a156
1317a475b9
14d48d76a
158c2c220
hex5fbac52

100379730 has 128 divisors (see below), whose sum is σ = 288334080. Its totient is φ = 22077440.

The previous prime is 100379723. The next prime is 100379731. The reversal of 100379730 is 37973001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100379731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162382 + ... + 162998.

It is an arithmetic number, because the mean of its divisors is an integer number (2252610).

Almost surely, 2100379730 is an apocalyptic number.

100379730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100379730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144167040).

100379730 is an abundant number, since it is smaller than the sum of its proper divisors (187954350).

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

100379730 is a wasteful number, since it uses less digits than its factorization.

100379730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 100379730 is about 10018.9685097818. The cubic root of 100379730 is about 464.7456581095.

The spelling of 100379730 in words is "one hundred million, three hundred seventy-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 29 30 33 34 51 55 58 66 85 87 102 110 145 165 170 174 187 255 290 319 330 374 435 493 510 561 617 638 870 935 957 986 1122 1234 1479 1595 1851 1870 1914 2465 2805 2958 3085 3190 3702 4785 4930 5423 5610 6170 6787 7395 9255 9570 10489 10846 13574 14790 16269 17893 18510 20361 20978 27115 31467 32538 33935 35786 40722 52445 53679 54230 62934 67870 81345 89465 101805 104890 107358 115379 157335 162690 178930 196823 203610 230758 268395 304181 314670 346137 393646 536790 576895 590469 608362 692274 912543 984115 1153790 1180938 1520905 1730685 1825086 1968230 2952345 3041810 3345991 3461370 4562715 5904690 6691982 9125430 10037973 16729955 20075946 33459910 50189865 100379730