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5465920 = 265192931
BaseRepresentation
bin10100110110011101000000
3101021200211111
4110312131000
52344402140
6313053104
764313425
oct24663500
911250744
105465920
1130a3699
1219b7194
131194b95
14a23d4c
1572e7ea
hex536740

5465920 has 112 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 1935360.

The previous prime is 5465909. The next prime is 5465963. The reversal of 5465920 is 295645.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176305 + ... + 176335.

Almost surely, 25465920 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 5465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

5465920 is an abundant number, since it is smaller than the sum of its proper divisors (9164480).

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

5465920 is a wasteful number, since it uses less digits than its factorization.

5465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5465920 is about 2337.9307089818. The cubic root of 5465920 is about 176.1520724211.

The spelling of 5465920 in words is "five million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 31 32 38 40 58 62 64 76 80 95 116 124 145 152 155 160 190 232 248 290 304 310 320 380 464 496 551 580 589 608 620 760 899 928 992 1102 1160 1178 1216 1240 1520 1798 1856 1984 2204 2320 2356 2480 2755 2945 3040 3596 4408 4495 4640 4712 4960 5510 5890 6080 7192 8816 8990 9280 9424 9920 11020 11780 14384 17081 17632 17980 18848 22040 23560 28768 34162 35264 35960 37696 44080 47120 57536 68324 71920 85405 88160 94240 136648 143840 170810 176320 188480 273296 287680 341620 546592 683240 1093184 1366480 2732960 5465920