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5606406420 = 2235314173517
BaseRepresentation
bin1010011100010101…
…01111100100010100
3112110201102221210020
411032022233210110
542440220001140
62324152425140
7255634445136
oct51612574424
915421387706
105606406420
11241774113a
1211056a81b0
136b468b464
143b2835056
1522c2dc6d0
hex14e2af914

5606406420 has 96 divisors (see below), whose sum is σ = 16599776256. Its totient is φ = 1411507200.

The previous prime is 5606406419. The next prime is 5606406457. The reversal of 5606406420 is 246046065.

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, 39502 + ... + 113018.

It is an arithmetic number, because the mean of its divisors is an integer number (172914336).

Almost surely, 25606406420 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 5606406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299888128).

5606406420 is an abundant number, since it is smaller than the sum of its proper divisors (10993369836).

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

5606406420 is a wasteful number, since it uses less digits than its factorization.

5606406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73601 (or 73599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5606406420 is about 74875.9401944309. The cubic root of 5606406420 is about 1776.4849223177.

The spelling of 5606406420 in words is "five billion, six hundred six million, four hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 6355 7626 12710 15252 19065 25420 38130 73517 76260 147034 220551 294068 367585 441102 735170 882204 1102755 1470340 2205510 2279027 3014197 4411020 4558054 6028394 6837081 9042591 9116108 11395135 12056788 13674162 15070985 18085182 22790270 27348324 30141970 34185405 36170364 45212955 45580540 60283940 68370810 90425910 93440107 136741620 180851820 186880214 280320321 373760428 467200535 560640642 934401070 1121281284 1401601605 1868802140 2803203210 5606406420