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4000432020 = 2235137964921
BaseRepresentation
bin1110111001110001…
…1011111110010100
3101022210112000001220
43232130123332110
531143102311040
61500543050340
7201064053054
oct35634337624
911283460056
104000432020
111773159872
129378a09b0
134b9a43250
1429d427564
1518630d2d0
hexee71bf94

4000432020 has 96 divisors (see below), whose sum is σ = 12215723520. Its totient is φ = 972241920.

The previous prime is 4000432001. The next prime is 4000432039. The reversal of 4000432020 is 202340004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4000432001) and next prime (4000432039).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29160 + ... + 94080.

It is an arithmetic number, because the mean of its divisors is an integer number (127247120).

Almost surely, 24000432020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107861760).

4000432020 is an abundant number, since it is smaller than the sum of its proper divisors (8215291500).

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

4000432020 is a wasteful number, since it uses less digits than its factorization.

4000432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65025 (or 65023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4000432020 is about 63248.9685291389. The cubic root of 4000432020 is about 1587.4581989944.

Adding to 4000432020 its reverse (202340004), we get a palindrome (4202772024).

The spelling of 4000432020 in words is "four billion, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1185 1580 2054 2370 3081 4108 4740 5135 6162 10270 12324 15405 20540 30810 61620 64921 129842 194763 259684 324605 389526 649210 779052 843973 973815 1298420 1687946 1947630 2531919 3375892 3895260 4219865 5063838 5128759 8439730 10127676 10257518 12659595 15386277 16879460 20515036 25319190 25643795 30772554 50638380 51287590 61545108 66673867 76931385 102575180 133347734 153862770 200021601 266695468 307725540 333369335 400043202 666738670 800086404 1000108005 1333477340 2000216010 4000432020