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4103697920 = 2957733137
BaseRepresentation
bin1111010010011001…
…0111011000000000
3101120222211110020212
43310212113120000
531401021313140
61515112253252
7203456566610
oct36446273000
911528743225
104103697920
111816480a93
129663a1228
1350525b42a
142ad028a40
1519040a765
hexf4997600

4103697920 has 160 divisors (see below), whose sum is σ = 11402538048. Its totient is φ = 1387266048.

The previous prime is 4103697907. The next prime is 4103697929. The reversal of 4103697920 is 297963014.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×41036979202 = 33680673237224652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103697929) 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, 1306592 + ... + 1309728.

Almost surely, 24103697920 is an apocalyptic number.

4103697920 is a gapful number since it is divisible by the number (40) 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 4103697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701269024).

4103697920 is an abundant number, since it is smaller than the sum of its proper divisors (7298840128).

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

4103697920 is an equidigital number, since it uses as much as digits as its factorization.

4103697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 4103697920 is about 64060.1117701179. Note that the first 3 decimals coincide. The cubic root of 4103697920 is about 1601.0017060681.

The spelling of 4103697920 in words is "four billion, one hundred three million, six hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 256 280 292 320 365 448 511 512 560 584 640 730 896 1022 1120 1168 1280 1460 1792 2044 2240 2336 2555 2560 2920 3137 3584 4088 4480 4672 5110 5840 6274 8176 8960 9344 10220 11680 12548 15685 16352 17920 18688 20440 21959 23360 25096 31370 32704 37376 40880 43918 46720 50192 62740 65408 81760 87836 93440 100384 109795 125480 130816 163520 175672 186880 200768 219590 229001 250960 261632 327040 351344 401536 439180 458002 501920 654080 702688 803072 878360 916004 1003840 1145005 1308160 1405376 1603007 1606144 1756720 1832008 2007680 2290010 2810752 3206014 3513440 3664016 4015360 4580020 5621504 6412028 7026880 7328032 8015035 8030720 9160040 11243008 12824056 14053760 14656064 16030070 18320080 25648112 28107520 29312128 32060140 36640160 51296224 56215040 58624256 64120280 73280320 102592448 117248512 128240560 146560640 205184896 256481120 293121280 410369792 512962240 586242560 820739584 1025924480 2051848960 4103697920