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107022440 = 23571920117
BaseRepresentation
bin1100110000100…
…00100001101000
321110101022012002
412120100201220
5204344204230
614341510132
72436450530
oct630204150
9243338162
10107022440
11554585a8
122ba12348
1319231cb5
14102dc4c0
1595e0545
hex6610868

107022440 has 64 divisors (see below), whose sum is σ = 289699200. Its totient is φ = 34760448.

The previous prime is 107022439. The next prime is 107022449. The reversal of 107022440 is 44220701.

It is a super-2 number, since 2×1070224402 = 22907605327107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (107022449) 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, 4739 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (4526550).

Almost surely, 2107022440 is an apocalyptic number.

107022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107022440 is an abundant number, since it is smaller than the sum of its proper divisors (182676760).

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

107022440 is a wasteful number, since it uses less digits than its factorization.

107022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 107022440 is about 10345.1650542657. The cubic root of 107022440 is about 474.7791253796.

It can be divided in two parts, 10 and 7022440, that multiplied together give a square (70224400 = 83802).

The spelling of 107022440 in words is "one hundred seven million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 20117 40234 80468 100585 140819 160936 201170 281638 382223 402340 563276 704095 764446 804680 1126552 1408190 1528892 1911115 2675561 2816380 3057784 3822230 5351122 5632760 7644460 10702244 13377805 15288920 21404488 26755610 53511220 107022440