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20057700 = 223521337139
BaseRepresentation
bin100110010000…
…0111001100100
31101202000222210
41030200321210
520113321300
61553523420
7332326155
oct114407144
941660883
1020057700
111035a713
126873570
134203780
14294192c
151b63050
hex1320e64

20057700 has 144 divisors (see below), whose sum is σ = 64648640. Its totient is φ = 4769280.

The previous prime is 20057683. The next prime is 20057717. The reversal of 20057700 is 775002.

It is an interprime number because it is at equal distance from previous prime (20057683) and next prime (20057717).

It is a super-2 number, since 2×200577002 = 804622658580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144231 + ... + 144369.

Almost surely, 220057700 is an apocalyptic number.

20057700 is a gapful number since it is divisible by the number (20) 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 20057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32324320).

20057700 is an abundant number, since it is smaller than the sum of its proper divisors (44590940).

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

20057700 is a wasteful number, since it uses less digits than its factorization.

20057700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 20057700 is about 4478.5823649901. The cubic root of 20057700 is about 271.7025475251.

The spelling of 20057700 in words is "twenty million, fifty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 139 148 150 156 185 195 222 260 278 300 325 370 390 417 444 481 555 556 650 695 740 780 834 925 962 975 1110 1300 1390 1443 1668 1807 1850 1924 1950 2085 2220 2405 2775 2780 2886 3475 3614 3700 3900 4170 4810 5143 5421 5550 5772 6950 7215 7228 8340 9035 9620 10286 10425 10842 11100 12025 13900 14430 15429 18070 20572 20850 21684 24050 25715 27105 28860 30858 36075 36140 41700 45175 48100 51430 54210 61716 66859 72150 77145 90350 102860 108420 128575 133718 135525 144300 154290 180700 200577 257150 267436 271050 308580 334295 385725 401154 514300 542100 668590 771450 802308 1002885 1337180 1542900 1671475 2005770 3342950 4011540 5014425 6685900 10028850 20057700