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106463430 = 23353710657
BaseRepresentation
bin1100101100010…
…00000011000110
321102022220101000
412112020003012
5204223312210
614321514130
72431632003
oct626100306
9242286330
10106463430
1155106607
122b7a2946
1319097718
14101d48aa
15952eac0
hex65880c6

106463430 has 64 divisors (see below), whose sum is σ = 291602880. Its totient is φ = 27620352.

The previous prime is 106463377. The next prime is 106463431. The reversal of 106463430 is 34364601.

106463430 is a `hidden beast` number, since 10 + 646 + 3 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×1064634302 = 22668923854729800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106463394 and 106463403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106463431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4662 + ... + 15318.

It is an arithmetic number, because the mean of its divisors is an integer number (4556295).

Almost surely, 2106463430 is an apocalyptic number.

106463430 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 106463430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145801440).

106463430 is an abundant number, since it is smaller than the sum of its proper divisors (185139450).

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

106463430 is a wasteful number, since it uses less digits than its factorization.

106463430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106463430 is about 10318.1117458574. Note that the first 3 decimals coincide. The cubic root of 106463430 is about 473.9510444553.

The spelling of 106463430 in words is "one hundred six million, four hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 10657 21314 31971 53285 63942 95913 106570 159855 191826 287739 319710 394309 479565 575478 788618 959130 1182927 1438695 1971545 2365854 2877390 3548781 3943090 5914635 7097562 10646343 11829270 17743905 21292686 35487810 53231715 106463430