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106425440 = 25511173557
BaseRepresentation
bin1100101011111…
…10110001100000
321102020222020222
412111332301200
5204221103230
614321022212
72431413152
oct625766140
9242228228
10106425440
1155090010
122b784968
1319083344
14101c4ad2
1595236e5
hex657ec60

106425440 has 96 divisors (see below), whose sum is σ = 290503584. Its totient is φ = 36413440.

The previous prime is 106425427. The next prime is 106425443. The reversal of 106425440 is 44524601.

It is a super-2 number, since 2×1064254402 = 22652748558387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106425443) 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, 28142 + ... + 31698.

It is an arithmetic number, because the mean of its divisors is an integer number (3026079).

Almost surely, 2106425440 is an apocalyptic number.

106425440 is a gapful number since it is divisible by the number (10) 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 106425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145251792).

106425440 is an abundant number, since it is smaller than the sum of its proper divisors (184078144).

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

106425440 is a wasteful number, since it uses less digits than its factorization.

106425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 106425440 is about 10316.2706439876. The cubic root of 106425440 is about 473.8946634605.

The spelling of 106425440 in words is "one hundred six million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3557 3740 5984 7114 7480 14228 14960 17785 28456 29920 35570 39127 56912 60469 71140 78254 113824 120938 142280 156508 195635 241876 284560 302345 313016 391270 483752 569120 604690 626032 665159 782540 967504 1209380 1252064 1330318 1565080 1935008 2418760 2660636 3130160 3325795 4837520 5321272 6260320 6651590 9675040 10642544 13303180 21285088 26606360 53212720 106425440